Inverse Trigonometric Functions

JEE Main 2025 (Online) 24th January Morning ShiftNumericalEasy📈 Topic in 24% papers+4

Ques. 1JEE Main 2025, 24 January (Morning Shift)

If for some , ; , + =8 and 2 ( -1 )+cosec2 ( -1 )=36, then 2+ is

Answer

Solution

2( -1 )=1+ 2 (from the triangle) and cosec2( -1 )=1+ 2

[figure]

2+ 2+ 2=36 2+ 2=34

+ =8 = 64-342=15 \ , \=\3,5\

: 2+ =9+5=14

Answer: 14

Keep practising — Inverse Trigonometric Functions

Ques. 2JEE Main 2025, 24 January (Evening Shift)

If > > >0, then the expression -1 \ + (1+ 2)( - ) \+ -1 \ + (1+ 2)( - ) \ + -1 \ + (1+ 2)( - ) \ is equal to :

3
2-( + + )
0

Ques. 3JEE 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

Ques. 4JEE 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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