Inverse Trigonometric Functions

This is an MCQ-based quiz on Inverse Trigonometric Functions.

This includes Basic Concepts and Properties of Inverse Trigonometric Functions.

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sin(π /3 – sin^-1(-1 /2)) is equal to

1/2 1/3 1/4 1

If f: R → R be given by f(x) = (3 – x³)^1/3, then fof (x) is

x^1/3 x³ x 3 – x³.

tan^-1 √3 – sec^-1(-2)

π –π/3, 0 π /3 2π /3

sin(sec^-1 x + cosec^-1x) =

1 -1 π /2 π /3

The principle value of sin^-1 (√3 /2) is

2π /3 π /6 π /4 π /3

Simplified form of cos^-1 (4x^3 – 3x)

3 sin^-1x 3 cos^-1x π – 3 sin^-1x None of these

If 3 tan^-1 x + cot^-1 x = π, then x equals

0 1 -1 1/2

The value of sin (2 tan^-1 (.75)) is equal to

.75 1.5 .96 sin 1.5

If cos-1 α + cos-1 β + cos-1 γ = 3π, then α(β + γ) + β (γ + α) + γ(α + β) equals

0 1 6 12

If 6 sin^-1 (x² – 6x + 8.5) = π, then x is equal to

1 2 3 8

Quiz/Test Summary

Title: Inverse Trigonometric Functions

Questions: 10

Contributed by:

Diego Thu, Mar 24, 2022 06:57 AM UTC

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