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Grade 12 Inverse Trigonometric Functions Worksheet

This worksheet covers inverse trigonometric functions, their domains, ranges, and applications in solving trigonometric equations.

Grade 12 Math TrigonometryInverse Trigonometric Functions
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSF.TF.B.6CCSS.MATH.CONTENT.HSF.TF.B.7

Topics

Inverse TrigonometryFunctionsTrigonometryGrade 12 Math
7 sections · Free to use · Printable
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Inverse Trigonometric Functions

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Date:

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. What is the principal value of arcsin(1/2)?

a

π/6

b

π/3

c

π/4

d

π/2

2. The range of arccos(x) is:

a

[-π/2, π/2]

b

[0, π]

c

(-π/2, π/2)

d

(0, π)

3. The domain of arcsin(x) is  .

4. The value of arctan(√3) is  .

5. For the inverse function to exist, the original trigonometric function must be  .

6. Evaluate sin(arccos(3/5)).

7. Find the exact value of arccos(-√2/2).

8. The domain of arctan(x) is all real numbers.

T

True

F

False

9. The principal value of arcsin(x) is always positive.

T

True

F

False

10. A ladder 10 meters long leans against a vertical wall. If the base of the ladder is 6 meters from the wall, what is the angle of elevation of the ladder to the ground? Express your answer using an inverse trigonometric function.