Question

The value of `sin((25π)/3)` is ______.

Options

• `1/sqrt(2)`

• `-1/2`

• `sqrt(3)/2`

• – 1

Answer 1

The value of `sin((25π)/3)` is `underlinebb(sqrt(3)/2)`.

Explanation:

`sin((25π)/3) = sin(8π + π/3)`

= `sin(2π xx 4 + π/3)`  

= `sin  π/3`  ...[∵ sin(2nπ + θ) = sin θ, n ∈ Z]

= `sqrt(3)/2`