Question

$if \alpha \beta are \: complememtary \: angles \: then {sin}^{2} (90 - \alpha ) + { \sin }^{2} (90 - \beta ) =$
​

Answer 1

Answer:

a + b = 90°

a = (90-b)

and ,

sin(90-a) = cosa

using these we get,

sin²(90-a) + sin²(90-b)

= cos²a + sin²a

= 1 (Ans)

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