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Evaluate without using tables sin(-1290º)

Mathematics
JAMB 1978

Evaluate without using tables sin(-1290º)

  • A. \(\frac{3}{2}\)
  • B. -\(\frac{3}{2}\)
  • C. \(\frac{2}{2}\)
  • D. 1
  • E. \(\frac{1}{2}\)
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Correct Answer: Option E
Explanation

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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