Question

Solve: tan(x)-cos^2(x)=sin^2(x)

Answer 1

Pi/4+kpi

Explanation:

X= 45 degrees and on unit circle that is pi/4

Answer 2

x = 45 degrees +180 n where n is an integer

Explanation:

tan(x)-cos^2(x)=sin^2(x)

Add cos^2(x) to each side

tan(x)-cos^2(x)+ cos^2(x)=sin^2(x)+ cos^2(x)

tan(x)=sin^2(x)+ cos^2(x)

We know that sin^2(x)+ cos^2(x) = 1

tan (x) =1

Take the inverse tan of each side

tan ^-1 ( tan x) = tan ^-1 (1)

x = 45 degrees +180 n where n is an integer