Question

The value of `(cotx - tanx)/(cot 2x)` is ______.

पर्याय

• 1

• 2

• – 1

• 4

Answer 1

The value of `(cotx - tanx)/(cot 2x)` is 2.

Explanation:

`(cotx - tanx)/(cot 2x)`

= `tan 2 x (cot x - 1/cotx)`

= `tan 2 x ((cot^2 x - 1)/cot x)`

= `tan 2 x ((cot^2 x - 1)/(2 cot x)).2`

= tan 2 x cot 2x . 2

= 2