Home Maths Inverse Trigonometric Functions All Topic Question for Revision Test Number of integral values of such that the …
Maths Inverse Trigonometric Functions All Topic Question for Revision Test Single Correct MCQ
Published on: August 12, 2026

Number of integral values of such that the equation possesses solution is:

A
2
B
8
C
5
D
10

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Text Solution

Verified by Experts
The correct answer is:
C

Define the Function:

Let .

The domain of is , which is the common domain for the equation.

Determine the Range:

Since both and are strictly decreasing functions, is also strictly decreasing.

Maximum value at :

Minimum value at :

Identify Integral Values:

The range of for which a solution exists is , or approximately . The integers in this range are: , and 5 .

Re-evaluating the Question Options:

The number of integers is .

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