Home » Past Questions » Mathematics » What is the value of sin(-690)?

What is the value of sin(-690)?


Question

What is the value of sin(-690)?

Options

A) \(\frac{\sqrt{3}}{2}\)

B) -\(\frac{\sqrt{3}}{2}\)

C) \(\frac{-1}{2}\)

D) \(\frac{1}{2}\)

The correct answer is D.

Explanation:

Sin(-690o) = Sin(-360 -3300
sin - 360 = sin 0
∴ sin(-690o) = sin(330o)
Negative angles are measured in clockwise direction
The acute angle equivalent of sin(-330o) = sin(30o)
sin(-330o) = sin(30o)
= \(\frac{1}{2}\)
= 0.5

More Past Questions:


Dicussion (1)

  • Sin(-690o) = Sin(-360 -3300
    sin - 360 = sin 0
    ∴ sin(-690o) = sin(330o)
    Negative angles are measured in clockwise direction
    The acute angle equivalent of sin(-330o) = sin(30o)
    sin(-330o) = sin(30o)
    = \(\frac{1}{2}\)
    = 0.5

    Reply
    Like