Question

The value of `cos((41π)/4)` is ______.

विकल्प

• `-sqrt(3)/2`

• `1/sqrt(2)`

• `1/2`

• 1

Answer 1

The value of `cos((41π)/4)` is `underlinebb(1/sqrt(2))`.

Explanation:

`cos((41π)/4) = cos(10π + π/4)`

= `cos(2π xx 5 + π/4)`

= `cos  π/4`  ...[∵ cos(2nπ + θ) = cos θ, n ∈ Z]

= `1/sqrt(2)`