Question

Question #167f2

Answer 1

`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....`