if a line passes through the origin...

Question

if a line passes through the origin has the equation y=-3x, find the sin,cosine, and tangent for the angle that it creates in the fourth quadrant

Answer 1

sinA= -3/sqr10

cosA = 1/sqr10

tanA = -3

It creates a right triangle with sides 1, -3 and sqr(1^2 + 3^2) = sqr10

sin is opposite/hypotenuse

cos is adjacent/hypotenuse

tan is opposite/adjacent

opposite side =-3 adjacent side =1, hypotenuse = sqr10

You don't have to calculate the angle to find the trig functions