Question

Evalute this


$\tt{2 tan^2 45\degree + sin^2 30\degree + cos^2 30\degree }$​

Answer 1

ㅤ$\;\;\underline{\textbf{\textsf{ To Find :-}}}$

• ㅤ$\sf Value\:of$

$\bf{2 tan^2 45\degree + sin^2 30\degree + cos^2 30\degree }$

ㅤ$\;\;\underline{\textbf{\textsf{ Solution :-}}}$

$\bf{2 tan^2 45\degree + sin^2 30\degree + cos^2 30\degree }$

$\dashrightarrow \tt{2 \times (1)^{2} + \bigg(\dfrac{1}{2}\bigg)^{2} + \bigg(\dfrac{\sqrt{3} }{2} \bigg)^{2}}$

$\dashrightarrow \tt{2 \times 1+ \dfrac{1}{4} +\dfrac{3}{4} }$

$\dashrightarrow \tt{2 + \dfrac{1}{4} +\dfrac{3}{4} }$

$\dashrightarrow \tt{2 + \dfrac{1+ 3}{4} }$

$\dashrightarrow \tt{2 + \cancel{\dfrac{4}{4} }}$

$\dashrightarrow \tt{2 +1}$

$\dashrightarrow \bf{3}$

ㅤ$\;\;\underline{\textbf{\textsf{ Hence-}}}$

$\underline{\textsf{ The required answer is \textbf{ 3 }}}.$

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$\underline{\bf{Need \:To\:Know\::}}$

• $\sf tan 45° = 1$

• $\sf sin 30° = 1/2$

• $\sf cos 30° = √3/2$

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Answer 2

Answer:

5

I hop

Step-by-step explanation:

5

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