Use an identity to write the expression as a single trigonometric function or as a single number.
-csc 4°(1 - cos 4°)
A) cos 8°
B) sin 2°
C) tan 2°
D) tan 8°

Question

Quizplus · Accepted Answer

The expression can be simplified using the trigonometric identity csc(θ) = 1/sin(θ) and the Pythagorean identity sin^2(θ) + cos^2(θ) = 1. Thus, csc 4°(1 - cos 4°) = (1/sin 4°)(sin^2 4°) = sin 4°/sin 2° = tan 2°, using the double angle formula for sine.

Use an Identity to Write the Expression as a Single