Question

The value of sin 930° is ______.

Options

• `-1/2`

• `-1/3`

• `-2/5`

• `1/4`

Answer 1

The value of sin 930° is `underlinebb(-1/2)`.

Explanation:

sin(930°) = sin(3 × 360° – 150°)  ...[∵ sin(n × 360° – θ) = – sin θ n ∈ Z]

= – sin 150°  

= – sin (180° – 30°)   ...[∵ sin(180° – θ) sin θ]

= – sin 30° 

= `-1/2`