Question

sin2 53° + sin? 37°
Evaluate:
cos2 27° + cos2 63°​

Answer 1

I hope it will help you

Answer 2

$\huge\underbrace\pink{Solution}$

$\huge 1)$

${sin}^{2} 53 + {sin}^{2} 37 \\ {cos}^{2} (90 - 53) + { {sin} }^{2} 37 \\ {cos}^{2} 37 + {sin}^{2} 37 \\ = 1$

$\huge 2)$

${cos}^{2} 27 \: + {cos}^{2} 63 \\ {sin}^{2} (90 - 27) + {cos}^{2} 63 \\ {sin}^{2} 63 + {sin}^{2} 63 \\ = 1$

$\colorbox{skyblue}{Important \: Identities}$

$cos(90 - θ) = sin \: θ \\ \sin(90 -θ ) = cos \: θ \\ {sin}^{2} θ + {cos}^{2} θ = 1$