JEE Main2003MathematicsInverse Trigonometric FunctionsActual
The trigonometric equation ⁻¹ x=2 ⁻¹ a has a solution for
Options
- A| a | 1 2
- B1 2 < | a | < 1 2
- Call real values of a
- D|a| < 1 2
Correct answer
C. all real values of a
Step-by-step solution
⁻¹ x=2 ⁻¹ a- 2 ⁻¹ x 2 ; - 2 2 ⁻¹ a 2 - 4 ⁻¹ a 4 or -1 2 a 1 2 | a | 1 2 ( . As 1 2 > 1 2 ). Out of given four option no one is absolutely correct but (c) could be taken into consideration. | a | 1 2 is correct, if a 1 3 > 1 2