Question

How do you find the solution to `sectheta+sqrt2=2sqrt2` if `0<=theta<360`?

Answer 1

Solve the equation.

Explanation:

So, `sec theta + sqrt(2)=2sqrt(2)`
Subtract `sqrt(2)` from both sides gives:
`sec theta = sqrt(2)`
Inverting gives:
`cos theta = 1/sqrt(2)`
This gives `theta = 45 &deg;` or `theta = 315&deg;`