Question

Simple calculator test - determine the angle, θ, to the nearest whole degree from each of the following:A. cos(θ) = 0.2079B. tan(θ) = 0.2126C. sin(θ) = 0.5446

Answer 1

Step 1

Find the value of θ using the inverse sign of all the functions.

A)

`\begin{gathered} cos(\theta)=0.2079 \\ \theta=\cos^(-1)(0.2079) \\ \theta\approx78^(\circ) \end{gathered}`

B)

`\begin{gathered} tan(\theta)=0.2126 \\ \theta=\tan^(-1)(0.2126) \\ \theta\approx12^(\circ) \end{gathered}`

C)

`\begin{gathered} sin(\theta)=0.5446 \\ \theta=\sin^(-1)(0.5446) \\ \theta\approx33^(\circ) \end{gathered}`