Question

Question #2211e

Answer 1

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.