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Inverse Trigonometric Functions

Authored by Meena Bagga

Mathematics

12th Grade

Inverse Trigonometric Functions
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61 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

All trigonometric functions have inverse over their respective domains.

True

False

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The value of expression ((cos^-1 x)^2) is equal to (sec^2 x).

True

False

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The domain of trigonometric functions can be restricted to any one of their branch (not necessarily principal value) in order to obtain their inverse functions.

True

False

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The least numerical value, either positive or negative of angle θ is called principal value of the inverse trigonometric function.

True

False

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The graph of inverse trigonometric can be obtained from the graph of their corresponding function by interchanging X and Y-axes.

True

False

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The principal value of sin^-1 (cos (sin^-1 1/2)) is π/3.

True

False

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The value of cot^-1 (-x) x ∈ ℝ in terms of cot^-1 x is π/2 - cot^-1 x.

True

False

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