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Inverse Trigonometric Functions · Question 3

JEE Advanced 2024 Paper 2MCQEasy📈 Topic in 33% papers+4−1
1

Considering only the principal values of the inverse trigonometric functions, the value of ( -1 ( 35 )-2 -1 ( 2 5 ) ) is

  1. 724
  2. -724
  3. -524
  4. 524

Answer

(2) -724

Solution

Convert both inverse functions to -1 form.

-1 35= = 34; -1 2 5= = 12.

2 = 2 121- 14= 43.

( -2 )= 34- 431+ 34 43= - 7122=- 724.

Answer: (B)

JEE Advanced 2024 Paper 2

Keep practising — Inverse Trigonometric Functions

2

Considering only the principal values of the inverse trigonometric functions, the value of -1( (-11)) + 10 (2 -1 ( 1 2 ) ) + 10 (2 -1(2)) is

  1. 3 + 7
  2. 7
  3. 4 + 7
  4. 3 - 5
JEE Advanced 2026 Paper 1
3

The total number of real solutions of the equation = -1(2 )- 12 -1 ( 6 9+ 2 ) is (Here, the inverse trigonometric functions -1x and -1x assume values in [- 2, 2 ] and (- 2, 2 ), respectively.)

  1. 1
  2. 2
  3. 3
  4. 5
JEE Advanced 2025 Paper 2

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