The cosine of which an acute angle has the same value as
(a) - cos 162°
(a) - cos 162°
Since 162° is in the second quadrant, its cosine value is negative. Therefore, the cosine of the acute angle that has the same value as -cos 162° is positive. The acute angle will be in the first quadrant.
To find the reference angle, we subtract 162° from 180° (since it's in the second quadrant): 180° - 162° = 18°
Therefore, the acute angle with the same cosine value as -cos 162° is 18°. The cosine of 18° is also equal to -cos 162°.