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

Pi/4+kpi

Step-by-step explanation:

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

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

Step-by-step 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