Use a calculator to calculate the value of $\theta$ from the given identity. $\sin ( - \theta ) = - \sin \theta , \theta = 255 ^ { \circ }$
A) $\sin ( - 255 ) = - \sin 255 \approx - 0.9659$
B) $\sin ( - 255 ) = - \sin 255 \approx 0.9959$
C) $\sin ( - 255 ) = - \sin 255 \approx 0.9859$
D) $\sin ( - 255 ) = - \sin 255 \approx - 0.9859$
E) $\sin (-255)=-\sin 255 \approx 0.9659$

Question

Use a calculator to calculate the value of $\theta$ from the given identity. $\sin ( - \theta ) = - \sin \theta , \theta = 255 ^ { \circ }$ 
A) $\sin ( - 255 ) = - \sin 255 \approx - 0.9659$
B) $\sin ( - 255 ) = - \sin 255 \approx 0.9959$
C) $\sin ( - 255 ) = - \sin 255 \approx 0.9859$
D) $\sin ( - 255 ) = - \sin 255 \approx - 0.9859$ 
E) $\sin (-255)=-\sin 255 \approx 0.9659$

Quizplus · Accepted Answer

When you plug in 255 degrees into your calculator for both sides of the identity, you get:
$$\sin(-255) \approx -0.9659 = -\sin(255) \approx -0.9659$$
Therefore, the correct choice is E.

Use a Calculator to Calculate the Value Of θ\thetaθ From the Given Identity

Use a Calculator to Calculate the Value Of $\theta$ From the Given Identity