Evaluate the following expression.(x ≠ (π/5)n,where n is a whole number)
Csc 5x - sin 5x

A)cos 5x cot 5x
B)- 5 sin 5x cot 5x
C)- 5 cos 5x cot 5x
D)sin 5x csc 5x
E)5 sin x cot x

Question

Evaluate the following expression.(x ≠ (π/5)n,where n is a whole number) ​
Csc 5x - sin 5x
​
A)cos 5x cot 5x
B)- 5 sin 5x cot 5x
C)- 5 cos 5x cot 5x
D)sin 5x csc 5x
E)5 sin x cot x

Quizplus · Accepted Answer

Csc 5x - sin 5x can be simplified to 1/sin 5x - sin 5x. This simplifies further to (1 - sin^2 5x)/sin 5x, which is equal to cos^2 5x/sin 5x. This can be rewritten as cos 5x (cos 5x/sin 5x), which is cos 5x cot 5x.

Evaluate the Following Expression