JEE Main202124 Feb 2021Evening ShiftMathematicsInverse Trigonometric FunctionsActual

A possible value of tan 1 4 sin - 1 63 8 is:

Options

A2 2 - 1
B1 2 2
C7 - 1
D1 7

Correct answer

D. 1 7

Step-by-step solution

Let 1 4 sin - 1 63 8 = θ sin 4 θ = 63 8 cos 4 θ = 1 8 2 cos 2 2 θ - 1 = 1 8 cos 2 2 θ = 9 16 cos 2 θ = 3 4 2 cos 2 θ - 1 = 3 4 cos 2 θ = 7 8 cos θ = 7 2 2 tan θ = 1 7

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