Question

Given that sin and tan find the trigonometric function values for 54°=0.8090 cos 54°=0.5878 54°=1.3764, 306°.

sin 306°= (Round to four decimal places.)
cos 306°= (Round to four decimal places.)
tan 306°= (Round to four decimal places.)

Answer 1

sin 306°= -0.8090

cos 306°= 0.5878

tan 306°= -1.3764

Explanation:

sin 54° = 0.8090

cos 54°= 0.5878

tan 54° = 1.3764

As 306° = 360° - 54°, the trigonometric funcions absolute values are the same for both, we need to check the signs.

As 306° is on the 4th quadrant, we have

sin 306° negative

cos 306° positive

tan 306° negative, this way

sin 306°= -0.8090

cos 306°= 0.5878

tan 306°= -1.3764