For which angle theta is cos theta = -1?

a) 270

b) 360

c) 450

d) 540

Question

Dante Rosario

Mathematics

31 March, 12:56

For which angle theta is cos theta = -1?

a) 270

b) 360

c) 450

d) 540

+4

Answers (2)

Know the Answer?

Xavier Oconnell · Answer 1

Xavier Oconnell 31 March, 12:57

0

Your answer would be D 540

Orlando Hardin · Answer 2

540°.

Step-by-step explanation:

On a unit circle, cos θ = - 1 at 180°.

However, cos θ has a period of 2π, or 360°. This means that cos θ will equal to - 1 again after 2π.

To solve for the angle:

180° + 360° = 540°. This is the next angle at which cos θ = - 1.

For which angle theta is cos theta = -1?a) 270b) 360c) 450d) 540

For which angle theta is cos theta = -1?

a) 270

b) 360

c) 450

d) 540