20
practice examMultiple Choice

Practice Exam

Question 20 • Precalculus

On which interval are both the sine and cosine functions increasing?

Answer
A
open paren 0 comma pi close paren
B
open paren 3 pi over 2 comma 2 pi close paren
C
open paren pi over 2 comma pi close paren
D
open paren pi comma 3 pi over 2 close paren

Explanation

The sine function increases where its derivative, cosine, is positive. The cosine function increases where its derivative, negative sine, is positive—that is, where sine is negative. Both conditions hold in the fourth quadrant, from 3π/2 to 2π, so the interval is (3π/2, 2π), choice B.

AI-written and checked against the verified answer.

Previous
Next