Question

$\boxed{\underline{{\boxed{\textbf{Question}}}}}$
Q.Find the value of:-
1)sin^2 60°- cos^2 45°+3tan^2 30°

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Answer 1

Here is ur answer kritu ☺❤ Hope this helps you❤❤ ......

Answer 2

$\sf{\underline{\boxed{\huge{\blue{\mathsf{Solution}}}}}}$

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$\sf: \implies {\bold{sin^2 60 - cos^2 45 + 3tan^2 30}}$

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• $\sf{\red{\boxed{\bold{Sin 60 = \dfrac{\sqrt 3}{2}}}}}$

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• $\sf{\red{\boxed{\bold{cos 45 = \dfrac{1}{\sqrt 2}}}}}$

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• $\sf{\red{\boxed{\bold{tan 30 = \dfrac{1}{\sqrt 3}}}}}$

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$\sf: \implies {\bold{(\dfrac{\sqrt 3}{2})^2 - (\dfrac{1}{\sqrt 2})^2 + 3 \times ( \dfrac{1}{\sqrt 3})^2}}$

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$\sf: \implies {\bold{(\dfrac{ 3}{4}) - (\dfrac{1}{2}) + 3 \times ( \dfrac{1}{ 3})}}$

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$\sf: \implies {\bold{\dfrac{3}{4} - \dfrac{1}{2}+ 1 }}$

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$\sf: \implies{\bold{\dfrac{3 - 1\times 2 + 1\times 4 }{4}}}$

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$\sf: \implies {\bold{\dfrac{3 - 2 + 4 }{4}}}$

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$\sf: \implies {\bold{\dfrac{1 + 4 }{4}}}$

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$\sf: \implies{\bold{\dfrac{5}{4}}}$

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$\sf{\underline{\boxed{\large{\orange{\mathsf{sin^2 60 - cos^2 45 + 3 tan^2 30 = \dfrac{5}{4}}}}}}}$