Question

how would I find the exact value of TAN(-765degrees)?

Answer 1

well since tan repeats itself every 360 degrees. You can just add 360 to it twice to get Tan(-45)

that is Tan(-765) = Tan(-45)

and tan(-x) = -tan(x)
So your looking at

Tan(-765) = -Tan(45)
Now tan is opposite length dividied by the adjacent length (a percentage of how high you go, vs how far you go) in a triangle

so when the angle in a triangle is 45, these 2 lengths are equal



and you get -Tan(45) = -a/a = -1

so Tan(-765) = -1