Question

Trig Equations Pre CalcSec (theta) = 10

Answer 1

θ = 0

Step-by-step explanation

The secant function is the inverse of the cosine function:

`\sec \theta=(1)/(\cos \theta)`

So we can rewrite the equation:

`\begin{gathered} \sec \theta=1 \\ (1)/(\cos \theta)=1 \end{gathered}`

Solving for theta:

`\begin{gathered} \cos \theta=1 \\ \theta=\arccos (1) \end{gathered}`

This means that we have to find an angle for which its cosine is 1. If theta is between 0 and 360 degrees, there's only one solution - one angle whose cosine is 1: θ = 0.

See the graph of cos(θ):