Trigonometry : Trigonometric Equations

Study concepts, example questions & explanations for Trigonometry

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Example Questions

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Example Question #61 : Solving Trigonometric Equations

In the interval , what values of x satisfy the following equation?

Possible Answers:

Correct answer:

Explanation:

We start by rewriting the  term on the right hand side in terms of .

 

We then move everything to the left hand side of the equation and cancel.

 

Apply the quadratic formula:

 

So . Using the unit circle, the two values of  that yield this are  and .

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