Question #2211e

1 Answer
Dec 12, 2017

To find theta, you need to find the inverse of each function.

Explanation:

Since all of these are in Quadrant 1, they will be positive.

I'll do the first one for you,

csc theta = 2

theta = csc^-1 (2) -> change csc^-1 to sin^-1 and use reciprocal of 2

  • simply because there isn't a button on a calculator for csc^-1

theta = sin^-1 (1/2)

theta = 30^@

For radians, use the formula n * pi/180

30 * pi/180 = pi/6

Now do the same thing for cos theta = (sqrt2)/2 and tan theta = 1. These are easier, as you don't to worry about changing the function.