# Worksheet: Solving Equations Using Inverse Trigonometric Functions

In this worksheet, we will practice solving equations by using inverse trigonometric functions in the first quadrant.

**Q4: **

Find, to the nearest tenth of a degree, the measure of the angle of .

**Q5: **

Given that , determine to the nearest tenth of a degree.

**Q6: **

Find given and is an acute angle. Give the answer to the nearest second.

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**Q7: **

Find the set of values satisfying , where .

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**Q8: **

Find the set of values satisfying given .

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**Q9: **

Find the smallest positive angle that satisfies both and .

**Q10: **

Find the value of given that is an acute angle and . Give the answer to the nearest second.

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**Q11: **

Find the angle to the nearest tenth of a degree, knowing that and .

**Q12: **

Find the set of values satisfying , where .

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**Q13: **

Find the measure of in degrees given where is an acute angle.

**Q14: **

Find the measure of given where . Give the answer to the nearest second.

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**Q15: **

Find the measure of in degrees given where is an acute angle.

**Q17: **

Solve .

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