Question

Hi .........

Answer my question...

${2tan}^{2} 45 + {cos}^{2} 30 - {sin}^{2} 60$
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Answer 1

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The answer of u r question is..

Is in the pic...

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Answer 2

2tan²45 + cos²30 + sin²60



We know,

$\tan(45) = 1 \\ \\ \cos(30) = \frac{ \sqrt{3} }{2} \\ \\ \sin(60) = \frac{ \sqrt{3} }{2}$



On putting values, we get,


$2 {(1)}^{2} + {( \frac{ \sqrt{3} }{2}) }^{2} - {( \frac{ \sqrt{3} }{2}) }^{2} \\ \\ \\ \\ => 2(1) + \frac{3}{4} - \frac{3}{4} \\ \\ \\ = > 2 + 0 \\ \\ \\ => 2$