NEED ASAP! PLS HELP TRIGONOMETRY

Question

Find the six trigonometric functions of θ.

1. P(1,1)
2. P(4, -3)

Answer 1

Solut0in:

The length of the run is the base of the right angle triangle and the adjacent to angle θ, b = 4-1 = 3

The height of the run which is the altitude of the right angle triangle and the opposite to

angle θ, h = -3-1 = -4

The length of the hypotenuse R = √[(3²+(-4)²] = √(9+16) = √25 = 5

The six trigonometric functions are:

sin θ = opposite / hypotenuse = -4/5 , cos θ = adjacent / hypotenuse = 3/5

tan θ = opposite / adjacent = -4/3 . cot θ = 1/ tan θ = adjacent / opposite = -3/4

sec θ = 1/ cos θ = hypotenuse / adjacent = 5/3 , csc θ = 1/ sin θ = hypotenuse / opposite = -5/4