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This mock test of Test: Single Correct MCQs: Inverse Trigonometric Functions | JEE Advanced for JEE helps you for every JEE entrance exam.
This contains 9 Multiple Choice Questions for JEE Test: Single Correct MCQs: Inverse Trigonometric Functions | JEE Advanced (mcq) to study with solutions a complete question bank.
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QUESTION: 1

The value of

Solution:

QUESTION: 2

If we consider only the prin ciple values of th e inverse trigonometric functions then the value of

Solution:

QUESTION: 3

The number of real solutions of

Solution:

⇒ x^{2} + x+1 = 1⇒ x(x +1) = 0

⇒ x = 0, – 1 are the only real solutions.

QUESTION: 4

for then x equals

Solution:

On both sides we have G.P. of infinite terms.

QUESTION: 5

If 0 < x < 1, then

Solution:

QUESTION: 6

The value of x for which sin (cot^{ –1} (1+ x)) = cos (tan^{–1} x) is

Solution:

QUESTION: 7

The value of cot

Solution:

QUESTION: 8

The principal value of

Solution:

The principal value of

= sin^{ –1} (sin π / 3) = π / 3

∴ (d) is the correct answer..

*Multiple options can be correct

QUESTION: 9

where the inverse trigonometric functions take only the principal values, then the correct option(s) is (are)

Solution:

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