Question

Evaluate
$\frac{{\sin }^{2}63+{\sin }^{2}27}{{\cos }^{2}27+{\cos }^{2}63}$

• A. $0$
• B. $1$
• C. $-1$
• D. $2$

Answer 1

Answer: (B)

$1$

$\frac{si{n}^2{63}^{\circ }+si{n}^2{27}^{\circ }}{co{s}^2({90}^{\circ }-{63}^{\circ })+co{s}^2({90}^{\circ }-{27}^{\circ })}$
$=\frac{si{n}^2{63}^{\circ }+si{n}^2{27}^{\circ }}{si{n}^2{63}^{\circ }+si{n}^2{27}^{\circ }}$
$=1$