find cos(theta) and sin(theta) if tan(theta) = 4 and Pi is greater than or equal to pi and less then or equal to 3pi/2
This angle lies in the 3rd quadrant ... and if the tangent is 4 in the 3rd quadrant, y = 4 and x =1
So, r = √(4^2 + 1^2) = √17
So sin(theta) = y/r = 4 / √17 = (4√17) / 17
And cos(theta) = x/r = 1 / √17 = √17 / 17