Question

The value of sin(– 1125°) is ______.

Options

• `-1/2`

• 1

• `-sqrt(3)/2`

• 0

Answer 1

The value of sin(– 1125°) is `underlinebb(-1/2)`.

Explanation:

sin(– 1125°) = – sin(1125°)   ...[∵ sin(– θ) = – sin θ]

= – sin(1080° + 45°)

= – sin(3 × 360° + 45°)  ...[∵ sin(n × 360° + θ) = sin θ]

= – sin 45°  

= `-1/2`