Question

How do you find the values of the indicated functions?

Given `tan theta =1.036`
Find `sec theta` and `cos theta`

Answer 1

Use arctan (also written `tan^-1)` to find out what the angle is. Then use that angle as the argument for `sectheta and costheta`.

Explanation:

To demonstrate:
`tan^-1(1.036) = 46.01^@`
Used my TI-30X calculator.

`sec(46.01^@) = 1.44`
Used https://www.rapidtables.com/calc/math/trigonometry-calculator.html

`cos(46.01^@) = 0.694`
Used my TI-30X.

I hope this helps,
Steve