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2sin€- 3

Posted by Gaurav Bajaj 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

We know that, Sin30° =(1/2), Cos45°=(1/√2), tan60°=√3, putting these values in the given expression, we get :-
{tex}2{\sin ^2}30^\circ - 3{\cos ^2}45^\circ + {\tan ^2}60^\circ {/tex}
{tex} = 2{\left( {\frac{1}{2}} \right)^2} - 3\left( {\frac{1}{{\sqrt 2 }}} \right)^2+ {\left( {\sqrt 3 } \right)^2}{/tex}
{tex} = \frac{2}{4} - \frac{3}{2} + 3{/tex}
{tex} = \frac{{2 - 6 + 12}}{4}{/tex}
{tex} = \frac{8}{4} = 2{/tex}

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CBSE > Class 10 > Mathematics