Question

The value of `2 sin^2  π/6 + "cosec"^2  (7π)/6 cos^2  π/3` is ______.

विकल्प

• `3/2`

• `4/3`

• `1/4`

• `1/5`

Answer 1

The value of `2 sin^2  π/6 + "cosec"^2  (7π)/6 cos^2  π/3` is `underlinebb(3/2)`.

Explanation:

`2 sin^2  π/6 + "cosec"^2  (7π)/6 cos^2  π/3`

= `2(1/2)^2 + "cosec"^2(π + π/6)(1/2)^2`

= `1/2 + (- "cosec"^2 π/6)^2 (1/2)^2`

= `1/2 + (2)^2(1/2)^2`

= `1/2 + 1`

= `3/2`