Mathematics

If $$A,B$$ are complementary angles, then $$\cos ^{ 2 }{ A } +\cos ^{ 2 }{ B }$$


SOLUTION
$$co{s^2}A + co{s^2}B$$
And $$A$$ and $$B$$ are complementary 
So 
$$A+B=90,A=90-B$$
$${\left( {cos\left( {90 - B} \right)} \right)^2} + co{s^2}B$$
$$ = {\sin ^2}B + {\cos ^2}B = 1$$
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Subjective Medium Published on 09th 09, 2020
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