Given and ; find .
In this quadrant, if tangent Θ = -2, then y = 2 and x = -1 and r =√5
Then, cos2Θ = cos^2Θ - sin^2Θ
And we have
cosΘ = -1/√5 sinΘ = 2/√5 .... so ....
cos^2Θ - sin^2Θ =
1/5 - 4/5 = -3/5 = -.6