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Arlecino [84]
4 years ago
7

Cos²45+Sin²60 + sin^2 30​

Mathematics
1 answer:
denpristay [2]4 years ago
4 0

Step-by-step explanation:

{ \cos}^{2} 45 \degree +  { \sin}^{2} 60 +  { \sin}^{2} 30 \degree \\  =  \bigg( \frac{1}{ \sqrt{2} }  \bigg)^{2}  +  \bigg( \frac{ \sqrt{3} }{ 2}  \bigg)^{2}  +  \bigg( \frac{1}{2}  \bigg)^{2}   \\  \\  =  \frac{1}{2}  +  \frac{3}{4}  +  \frac{1}{4}  \\  \\  =  \frac{2}{4}  + \frac{3}{4}  +  \frac{1}{4}  \\   \\  =  \frac{2 + 3 + 1}{4}  \\  \\  =  \frac{6}{4}  \\  \\  =  \frac{3}{2}  \\  \\  = 1 \frac{1}{2}  \\

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