Question

How do I solve this problem? Solve the following trig functions and express your solution in degrees.

Answer 1

Given the equation:

`\sec 4\theta=2`

Let's solve the trigonometric function and express the solution in degrees.

The first step is to take the inverse secant of both sides:

`\begin{gathered} 4\theta=arc\sec (2) \\ \end{gathered}`

Where:

Exact value of arcsec(2) = 60

Hence, we have:

`4\theta=60`

The next step is to divide both sides by 4:

`\begin{gathered} (4\theta)/(4)=(60)/(4) \\ \\ \theta=15^0 \end{gathered}`