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

Question

Quizplus · Accepted Answer

The equation $\cos \theta - 1 = 0$ simplifies to $\cos \theta = 1$. The cosine function equals 1 at $\theta = 2k\pi$, where $k$ is any integer, representing the general solution for all points where the cosine function equals 1 on the unit circle.

Solve the Equation cos⁡θ−1=0\cos \theta - 1 = 0cosθ−1=0 A) θ=3π2+2kπ\theta = \frac { 3 \pi } { 2 } + 2 \mathrm { k } \piθ=23π​+2kπ

Solve the Equation $\cos \theta - 1 = 0$ A) $\theta = \frac { 3 \pi } { 2 } + 2 \mathrm { k } \pi$