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Evaluate without using tables sin(-1290º)...

Evaluate without using tables sin(-1290º)

A.

$\frac{3}{2}$

B.

- $\frac{3}{2}$

C.

$\frac{2}{2}$

D.

1

E.

$\frac{1}{2}$

View answer & explanation

Correct answer is E

sin(-1290º) = -sin(1290º)

sin([3*360] + 210)

where sin 360 = 0 and sin 210 = 180 + 30 ⇔ -30º

-sin ([3* 0] + [-30])

-sin(-30)

sin30 = $\frac{1}{2}$

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