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If \(\sin x = -\sin 70°, 0° < x < 360°\), determine the two possible...

Further Mathematics
WAEC 2010

If \(\sin x = -\sin 70°, 0° < x < 360°\), determine the two possible values of x.

  • A. 110°, 250°
  • B. 110°, 290°
  • C. 200°, 250°
  • D. 250°, 290°
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Correct Answer: Option D
Explanation

The value of the sine of an angle is negative in the third and fourth quadrant. Hence options A and B are not the options.

\(\sin 250 = -\sin (250 - 180) = - \sin 70\)

\(\sin 290 = - \sin (360 - 290) = - \sin 70\)


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