Question

Hello....

${2tan}^{2} 45 + {cos}^{2} 30 - {sin}^{2} 60$
Answer this question...

Answer 1

Hello Friend....

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The answer of u r question is.....

Ans:

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

$= \frac{2}{1} + \frac{3}{4} - \frac{3}{4}$

$= \frac{8 + 4 - 4}{4}$


$= \frac{8 - 2}{4}$


$= \frac{6}{4}$


$= \frac{3}{2}$


$= \frac{8}{4}$
=2

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Thank you.....⭐️⭐️⭐️⭐️

Answer 2

hay dear,

2tan²45 + cos²30-sin²60

we know that tan45 = 1 ,cos30 = √3/2,sin60=√3/2 so we put it value in given question

$2 \times 1 {}^{2} + ( \frac{ \sqrt{3} }{2} ) {}^{2} - ( \frac{ \sqrt{3} }{2} ) {}^{2}$

Now,

$2 + \frac{3}{4} - \frac{3}{4}$

=> 2.


I hope it's help you