NTA Abhyas JEE Main2020MathematicsInverse Trigonometric FunctionsPractice

The maximum value of x that satisfies the equation s i n - 1 2 15 x = c o s - 1 14 x is

Correct answer

Step-by-step solution

∵ s i n - 1 2 15 x = c o s - 1 1 - 2 15 x 2 f o r 0 < 2 15 x ≤ 1 ⇒ x ≥ 2 15 ∴ 14 x 2 = 1 - 2 15 x 2 ⇒ x = 16 ⇒ x = ± 16 which satisfies x ≥ 2 15 . Hence, the maximum value of x = 16

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