3 sin ^2 48^∘+cos ^2 42^∘ = nbsp; 3 sin ^2 (90 42)^∘+cos ^2 42^∘ = nbsp; 3 cos ^2 42^∘+cos ^2 42^∘ = 3 ...

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Integration of Piecewise Continuous Functions

3-sin 2 48∘+c...

Question

$3 - {sin}^{2} 48^{\circ} + {cos}^{2} 42^{\circ}$

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Solution

$3 - {sin}^{2} 48^{\circ} + {cos}^{2} 42^{\circ}$
= $3 - {sin}^{2} (90 - 42)^{\circ} + {cos}^{2} 42^{\circ}$
= $3 - {cos}^{2} 42^{\circ} + {cos}^{2} 42^{\circ}$
= $3$

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