Question

The value of `2 cot^2(π/6) + 4 tan^2(π/6) - 3  "cosec"(π/6)` is ______.

विकल्प

• 2

• 4

• `4/3`

• `3/4`

Answer 1

The value of `2 cot^2(π/6) + 4 tan^2(π/6) - 3  "cosec"(π/6)` is `underlinebb(4/3)`.

Explanation:

`2 cot^2(π/6) + 4 tan^2(π/6) - 3  "cosec"π/6`

= `2(sqrt(3))^2 + 4(1/sqrt(3))^2 - 3(2)`

= `2 xx 3 + 4/3 - 6`

= `4/3`