Question

P is a point on the terminal side of θ in standard position, how do you find the exact value of the six trigonometric functions for θ P(–8, –8)?

Answer 1

If O is the origin, the angle (Ox, OP) is `(5pi)/4` or 225 deg.

`sin 225 = sin (180 + 45) = -sin 45 = -(sqr2)/2`

`cos 225 = cos (180 + 45) = -cos 45 = -sqr2/2`

tan 225 = tan 45 = 1

cot 225 = 1

`sec 225 = 1/cos 225 = -2/(sqr2) = -sqr2`

`csc 225 = 1/sin 225 = -sqr2`