Evaluate without using tables sin(-1290º)
A
\(\frac{3}{2}\)
B
-\(\frac{3}{2}\)
C
\(\frac{2}{2}\)
D
1
E
\(\frac{1}{2}\)
Verified Correct Answer: E.
Step-by-Step Mathematical Solution
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 = \(\frac{1}{2}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #32724)