Question

sin²(37°)+sin²(53°)=

Answer 1

Step-by-step explanation:

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