If tan(x) = − 4 3 and x is in quadrant IV, find the exact values of the expressions without solving for x. (a) sin x 2, (b) cos x 2, (c) tan x 2

Answer 1

I'm guessing because I don't know if Tan(x) = -4/3 or is = -4³ so I'm using the first assumption = -4/3

This would make a 3:4:5 triangle in the 4th quadrant, so it would be x=4,y=-3, hypotenuse = 5

Then I'm assuming sin x 2 is Sin(x)²

So Sin(x)² = (-3/5)² = 9/25 = 0.36

Cos(x)² = (4/5)² = 16/25 = 0.64

Tan(x)² = (-3/4)² 9/16 = 0.5625