Question

Use inverse trigonometric functions to solve the following equations. If there is more than one solution, enter all solutions as a comma-separated list (like "1, 3"). If an equation has no solutions, enter "DNE".Solve 7tan(θ)=−15 for θ (where 0≤θ<2π).θ=

Answer 1

`\theta=-1.13416,2.00743`

Explanation:

We have the following function

`\begin{gathered} 7\cdot\tan (\theta)=-15 \\ 0\leq\theta<2\pi \end{gathered}`

Solving for θ:

`\begin{gathered} 7\cdot\tan (\theta)=-15 \\ \tan (\theta)=-(15)/(7) \\ \tan (\theta)=-(15)/(7) \\ \theta=\arctan (-(15)/(7)) \\ \theta_1=-1.13416 \\ \theta_2=2.00743 \end{gathered}`