Question

The number of solutions of $si{n}^{2}xco{s}^{2}x=1+co{s}^{2}xsi{n}^{4}x$ in the interval $[0,2\pi ]$ is

• A. 1
• B. 2
• C. 3

Answer 1

sin${}^2$xcos${}^2$x (1 - sin${}^2$x) = 1
sin${}^2$xcos${}^4$x = 1
No values of x for L.H.S. = R.H.S.