Question

If sin x=cot(tan x), then sin 2x is equal to:

• A. \(\dfrac{2}{(2n+1)\pi}\)
• B. \(\dfrac{4}{(2n+1)\pi}\)
• C. \(\dfrac{2}{(n+1)\pi}\)
• D. (4)/((n+1)π)

Hint:

Inverse trigonometric relations often reduce to standard angles.

Answer 1

The Correct Option is B

Given: sin x=cot(tan x) ⟹ tan x=((2n+1)π)/(2) Hence, sin 2x=(4)/((2n+1)π)