# Worksheet: Solving Equations Using Inverse Trigonometric Functions

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

Q1:

If is an acute angle, find given . Give the answer to the nearest second.

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Q2:

Find the set of values satisfying , where .

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Q3:

Find the value of given where is the largest angle in the range .

Q4:

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

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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.

Q16:

Solve .

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Q17:

Solve .

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Q18:

Find the value of given where is an acute angle.