Question

How do you give the six trigonometric function values of -3pi?

Answer 1

`sin(-3pi) = 0, cos(-3pi) = -1, tan(-3pi) = 0`
`csc(-3pi) = "undefined", sec(-3pi) = -1`,
`cot(-3pi) = "undefined"`

Explanation:

`-3pi` has the same values as `pi` due to the periodic nature of trigonometric functions. The negative sign means start at the `x-`axis and go clockwise `3 * 180^@` since `pi = 180^@`

`sin pi = sin(-3pi) = 0`

`cos pi = cos(-3pi) = -1`

`tan pi = (sin pi)/(cos pi) = 0/-1 = 0`

`csc pi = 1/(sin pi) = 1/0 = "undefined"`

`sec pi = 1/(cos pi) = 1/-1 = -1`

`cot pi = 1/(cot pi) = 1/0 = "undefined"`