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Find the Exact Values of the Six Trigonometric Functions of the Angle

Question 106

Multiple Choice

Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.) Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ ​


A) sin θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ csc θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​
Cos θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​
Sec θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​
Tan θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​
Cot θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​
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B) sin θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ ​ csc θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ ​
Cos θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ ​
Sec θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ ​
Tan θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ ​
Cot θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ ​
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C) sin θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ ​ csc θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ ​
Cos θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​
Sec θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​
Tan θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​
Cot θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​
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D) sin θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ csc θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​
Cos θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​
Sec θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​
Tan θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​
Cot θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​
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E) sin θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ csc θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​
Cos θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​
Sec θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​
Tan θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​
Cot θ = Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)    ​ A) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ B) sin θ =   ​ csc θ =   ​ Cos θ =   ​ Sec θ =   ​ Tan θ =   ​ Cot θ =   ​ ​ C) sin θ =   ​ csc θ =   ​ Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ D) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​ E) sin θ =   csc θ =   Cos θ =   Sec θ =   Tan θ =   Cot θ =   ​
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