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) $\theta = \frac { \pi } { 2 } + 2 k \pi$
C) $\theta = \pi + 2 k \pi$
D) $\theta = 0 + 2 \mathrm { k } \pi$

Question

Quizplus · Accepted Answer

The equation $\cos \theta = 1$ is true for $\theta = 0$ and all rotations of $2\pi$ radians (a full circle), hence the general solution is $\theta = 0 + 2k\pi$, where $k$ is any integer.

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) $\theta = \frac { 3 \pi } { 2 } + 2 \mathrm { k } \pi$