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

If \(\sin x = -\sin 70°, 0° < x < 360°\), determine the two possible values of x.
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  • A 110°, 250°
  • B 110°, 290°
  • C 200°, 250°
  • D 250°, 290°
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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