Solve the equation. Give a general formula for all the solutions.
-$\cos \theta = 1$
A) $\theta = \frac { 3 \pi } { 2 } + 2 \mathrm { k } \pi$
B) $\theta = \frac { \pi } { 2 } + 2 \mathrm { k } \pi$
C) $\theta = \pi + 2 \mathrm { k } \pi$
D) $\theta = 0 + 2 \mathrm { k } \pi$

Question

Quizplus · Accepted Answer

The equation $\cos \theta = 1$ is true when $\theta$ is an integer multiple of $2\pi$, which means $\theta = 0 + 2k\pi$ where $k$ is any integer. This is because the cosine function has a period of $2\pi$ and reaches its maximum value of 1 at $0 + 2k\pi$.

Solve the Equation cos⁡θ=1\cos \theta = 1cosθ=1 A) θ=3π2+2kπ\theta = \frac { 3 \pi } { 2 } + 2 \mathrm { k } \piθ=23π​+2kπ

Solve the Equation $\cos \theta = 1$ A) $\theta = \frac { 3 \pi } { 2 } + 2 \mathrm { k } \pi$