Do not use a calculator. Your reasoning must be clear to the marker.

Values of standard angles must be learned by heart.

QUESTION $1$

Find the exact solution$/$s for $x$ if there is no solution write no solution:

$1\mathrm{.}1si{n}^{2}x-co{s}^{2}x-sinx=0$ on the interval $[0,2)$

$1\mathrm{.}2co{s}^2(x)=cos(x),0x2$

QUESTION $2$