Question

If 3x = cosec x and `3/x = cot x` then `3(x^2 - 1/x^2)` = ?

विकल्प

• `1/27`

• `1/81`

• `1/3`

• `1/9`

Answer 1

`bb(1/3)`

Explanation:

(cosec²x – cot²x) = 1

⇒ `(9x^2 - 9/x^2) = 1`

⇒ `9(x^2 - 1/x^2) = 1`

∴ `(x^2 - 1/x^2) = 1/9`

⇒ `3(x^2 - 1/x^2) = (3 xx 1/9) = 1/3`