In this worksheet, we will practice solving trigonometric equations by squaring both sides.

**Q1: **

If and , find the possible values of .

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- B ,
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- E ,

**Q2: **

If and , find the value of .

**Q3: **

Find the set of values satisfying where . Give the answers to the nearest second.

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**Q4: **

Consider the equation , where . Call this Equation A.

Create Equation B by squaring both sides of Equation A. Use the fact that to simplify Equation B.

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Now, use a double angle formula to further simplify Equation B.

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The solutions to Equation A are a subset of the solutions of Equation B. Using this, solve Equation A over the specified range.

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**Q5: **

By first squaring both sides, or otherwise, solve the equation , where . Be careful to remove any extraneous solutions. Give your answers to two decimal places.

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**Q6: **

Solve , where . Give your answer in radians to three significant figures.

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**Q7: **

Find the set of values satisfying where . Give the answers to the nearest second.

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