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Use the Definitions (Not a Calculator) to Evaluate the Six 2π2 \pi

Question 10

Multiple Choice

Use the definitions (not a calculator) to evaluate the six trigonometric functions of the given angle: 2π2 \pi


A) sin⁡2π=0,cos⁡2π=1,tan⁡2π=0,sec⁡2π=1,csc⁡2π is undefined, cot⁡2π is undefined. \sin 2 \pi = 0 , \cos 2 \pi = 1 , \tan 2 \pi = 0 , \sec 2 \pi = 1 , \csc 2 \pi \text { is undefined, } \cot 2 \pi \text { is undefined. }
B) sin⁡2π=1,cos⁡2π=1,tan⁡2π=1,sec⁡2π=1,csc⁡2π=1,cot⁡2π=1\sin 2 \pi = 1 , \cos 2 \pi = 1 , \tan 2 \pi = 1 , \sec 2 \pi = 1 , \csc 2 \pi = 1 , \cot 2 \pi = 1
C) sin⁡2π=0,cos⁡2π=1,tan⁡2π is undefined, sec⁡2π is undefined. csc⁡2π=0,cot⁡2π=1\sin 2 \pi = 0 , \cos 2 \pi = 1 , \tan 2 \pi \text { is undefined, } \sec 2 \pi \text { is undefined. } \csc 2 \pi = 0 , \cot 2 \pi = 1
D) sin⁡2π=−1⋅cos⁡2π=1⋅tan⁡2π=−1⋅sec⁡2π=1⋅csc⁡2π=1⋅cot⁡2π=1\sin 2 \pi = - 1 \cdot \cos 2 \pi = 1 \cdot \tan 2 \pi = - 1 \cdot \sec 2 \pi = 1 \cdot \csc 2 \pi = 1 \cdot \cot 2 \pi = 1
E) sin⁡2π=1,cos⁡2π=0,tan⁡2π is undefined, sec⁡2π is undefined. csc⁡2π=−1,cot⁡2π=0\sin 2 \pi = 1 , \cos 2 \pi = 0 , \tan 2 \pi \text { is undefined, } \sec 2 \pi \text { is undefined. } \csc 2 \pi = - 1 , \cot 2 \pi = 0

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