Question

How would you find the exact value of the six trigonometric function of 225 degrees?

Answer 1

`sin(225^@)= -1/sqrt(2)color(white)("XXX")csc(225^@)=-sqrt(2)`
`cos(225^@)= -1/sqrt(2)color(white)("XXX")sec(225^@)=-sqrt(2)`
`tan(225^@)=+1color(white)("XXXX")csc(225^@)=-1`

Explanation:

`225^@=180^@+45^@`

So `225^@` has a reference angle of `45^@` in Quadrant 3 (Q III).

According to CAST,
only `tan` (and its inverse `cot`) are positive in Q III.

`45^@` is one of the standard trigonometric angles.