Exam 6: Equations

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Find all solutions in radians using exact values only. Find all solutions in radians using exact values only.   ​ ​

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Solve the equation for θ  if Solve the equation for θ  if   . Give your answer in degrees.   ​ . Give your answer in degrees. Solve the equation for θ  if   . Give your answer in degrees.   ​ ​

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Solve the equation for θ  if Solve the equation for θ  if   . Give your answer in degrees.  . Give your answer in degrees. Solve the equation for θ  if   . Give your answer in degrees.

(Short Answer)
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Solve the equation for t  if Solve the equation for t  if   . Give the answer as an exact value in radians. Do not use a calculator.  . Give the answer as an exact value in radians. Do not use a calculator. Solve the equation for t  if   . Give the answer as an exact value in radians. Do not use a calculator.

(Essay)
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Write an expression that gives all solutions to the equation. Write an expression that gives all solutions to the equation.   00 00

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Find all degree solutions. Find all degree solutions.   ​ ​

(Multiple Choice)
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Eliminate the parameter t from the following and then sketch the graph: Eliminate the parameter t from the following and then sketch the graph:   ​ ​

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Solve for x , if Solve for x , if   . Write your answers in exact values only.  . Write your answers in exact values only. Solve for x , if   . Write your answers in exact values only.

(Essay)
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Solving the following equation will require you to use the quadratic formula. Solve the equation for θ  between 0° and 360°, and round your answers to the nearest tenth of a degree. Solving the following equation will require you to use the quadratic formula. Solve the equation for θ  between 0° and 360°, and round your answers to the nearest tenth of a degree.   ​ ​

(Multiple Choice)
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Solve the equation for θ  if Solve the equation for θ  if   . Do not use a calculator.   ​ . Do not use a calculator. Solve the equation for θ  if   . Do not use a calculator.   ​ ​

(Multiple Choice)
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Solve the equation for x if Solve the equation for x if   .   ​ . Solve the equation for x if   .   ​ ​

(Multiple Choice)
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Solve for x , if Solve for x , if   . Write your answers in exact values only. sin x + 2sin x cos x = 0 ​ . Write your answers in exact values only. sin x + 2sin x cos x = 0 ​

(Multiple Choice)
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Solve the equation for x  if Solve the equation for x  if   . Give your answer in radians using exact values only.  . Give your answer in radians using exact values only. Solve the equation for x  if   . Give your answer in radians using exact values only.

(Essay)
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Solve the equation for θ  if Solve the equation for θ  if   . Give your answer in degrees.  . Give your answer in degrees. Solve the equation for θ  if   . Give your answer in degrees.

(Short Answer)
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Solve the equation for θ  if Solve the equation for θ  if   . Do not use a calculator. 2cos  θ + 1 = 0 ​ . Do not use a calculator. 2cos  θ + 1 = 0 ​

(Multiple Choice)
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Solve the equation for θ  if Solve the equation for θ  if   . Do not use a calculator.  . Do not use a calculator. Solve the equation for θ  if   . Do not use a calculator.

(Short Answer)
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Find all solutions if Find all solutions if   . Give your answers in degrees. Round your answer to the nearest tenth if necessary.   θ = __________° . Give your answers in degrees. Round your answer to the nearest tenth if necessary. Find all solutions if   . Give your answers in degrees. Round your answer to the nearest tenth if necessary.   θ = __________° θ = __________°

(Short Answer)
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Eliminate the parameter t in the following: Eliminate the parameter t in the following:       ​   Eliminate the parameter t in the following:       ​ ​

(Multiple Choice)
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Eliminate the parameter t in the following: Eliminate the parameter t in the following:        Eliminate the parameter t in the following:    

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Use the quadratic formula to find all solutions in the interval Use the quadratic formula to find all solutions in the interval    to the nearest tenth of a degree.   ​  to the nearest tenth of a degree. Use the quadratic formula to find all solutions in the interval    to the nearest tenth of a degree.   ​ ​

(Multiple Choice)
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