Question #167f2

1 Answer
Jan 19, 2018

tan^2x-cos^2x-(secx-sinx)^2 = 0
\cancel(sec^2x)-1-1+cancel(sin^2x)-cancel(sec^2x)-cancel(sin^2x)+2sinxsecx = 0
sinxsecx = sinx/cosx = tanx
2(tanx - 1) = 0
tanx = 1
x = ((4n+1)pi)/4 forall n = 0,1,2....