Question

Evaluate:
sin? 63°+ sin? 27°
cos? 17° + cos73°​

Answer 1

ᎯᏁᏕᏯᎬᏒ

$\frac{ {sin}^{2} 63 ° + {sin}^{2} 27°}{ {cos}^{2}17° + {cos}^{2}73 ° }$

$\boxed{\red{{sin}^{2}(90 \degree \: - \theta)={cos}^{2} \theta }}$

$\boxed{ \red{ {cos }^{2}(90 \degree \: - \theta) ={sin}^{2} \theta }}$

$\frac{ sin² (90° - 63°)+ cos² 27°}{</p><p>cos(90° - 73°) + {cos }^{2} 73°}$

$\boxed{\red{{sin }^{2} \theta +{cos }^{2} \theta = 1 }}$

$\frac{ cos² \: 27° + sin² \: 27°}{</p><p>{sin }^{2} 73°+ {cos} ^{2} 73°}$

$\orange{\frac{1}{1} =1}$