Math, asked by milikarn, 9 months ago

Evaluate √1+cos 60° / 2​

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Answered by abhi569
9

Answer:

√3

Step-by-step explanation:

In trigonometry, cos60° = (1/2)

So, here,

 =  >  \sqrt{ \frac{1 +  \cos(60 \degree) }{2} }  \\   \\  =  >  \sqrt{ \frac{1 +  \frac{1}{2} }{2} }   \\  \\  =  >  \sqrt{ \frac{ \frac{2+ 1}{2} }{2} }  \\  \\  =  >  \sqrt{ \frac{ \frac{3}{2} }{2} }  \\  \\  =  >  \sqrt{3}

Answered by Anonymous
6

 \tt \huge \red{answer :  - } \\  \\  \sf \: we \:  \: know \:  \: that \:  \:  \\  \\  \bf {cos \: 60 \degree =  \frac{1}{2} } \:  \\  \\  \sf \mapsto \:  \sqrt{ \frac{1 + cos \: 60 \degree}{2} }  \\  \\ \sf \mapsto \: \sqrt{ \frac{1 +  \frac{1}{2} }{2} }  \\  \\ \sf \mapsto \:  \sqrt{ \frac{ \frac{2 + 1}{2} }{2} }   \\  \\ \sf \mapsto \:  \sqrt{ \frac{ \frac{3}{2} }{2} }  \\  \\ \sf \mapsto \: \sqrt{3}

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