How do you use $tantheta=4$ to find $sectheta$ ?

Question

5500 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-23T19:15:18

Use the identity $sec(theta) = +-sqrt(1 + tan^2(theta))$

Given: $tan(theta) = 4$

Substitute $(4)^2$ for $tan^2(theta)$ into the identity:

$sec(theta) = +-sqrt(1 + 4^2$

$sec(theta) = +-sqrt17$

Whether the secant is positive or negative cannot be determined with the given information.

How do you use tantheta=4tantheta=4 to find secthetasectheta?