Inverse Trigonometric Functions

JEE Main 2025 (Online) 23rd January Morning ShiftMCQMedium📈 Topic in 24% papers+4−1

Ques. 1JEE Main 2025, 23 January (Morning Shift)

If 2 x 3 4, then -1 ( 1213 x+ 513 x ) is equal to

x+ -1 512
x- -1 43
x+ -1 45
x- -1 512

Answer

(4) x- -1 512

Solution

Let = -1 512 ( < 4): = 1213, = 513 expression = (x- )

[figure]

2 x 3 4 4<x- < 3 4, inside [0, ]

-1 (x- )=x- -1 512

Answer: (4)

Keep practising — Inverse Trigonometric Functions

Ques. 2JEE Main 2025, 22 January (Morning Shift)

Using the principal values of the inverse trigonometric functions, the sum of the maximum and the minimum values of 16 ( ( -1x )2+ ( cosec-1x )2 ) is :

24 2
18 2
22 2
31 2

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