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°
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)