Use a calculator to solve for x in the given interval
-$\cot \theta = 0.7615,0 \leq \theta \leq 2 \pi$
A) $0.92$ or $4.06$
B) $2.22$ or $4.06$
C) $0.92$ or $2.22$
D) $0.65$ or $3.79$

Question

Quizplus · Accepted Answer

To solve for $\theta$ when $\cot \theta = 0.7615$, we first find the arccotangent of $0.7615$. Since most calculators do not have an arccot function, we use the identity $\cot \theta = \frac{1}{\tan \theta}$ to find $\theta = \arctan(\frac{1}{0.7615})$. This gives $\theta \approx 0.92$ radians for the first solution in the given interval. Cotangent has a period of $\pi$, so the second solution within the interval $0 \leq \theta \leq 2\pi$ is $0.92 + \pi \approx 4.06$ radians.

Use a Calculator to Solve for X in the Given cot⁡θ=0.7615,0≤θ≤2π\cot \theta = 0.7615,0 \leq \theta \leq 2 \picotθ=0.7615,0≤θ≤2π

Use a Calculator to Solve for X in the Given $\cot \theta = 0.7615,0 \leq \theta \leq 2 \pi$