Question

Evaluate sin²30 + 2sin²60.​

Answer 1

$\huge{\underline{\mid{\tt{\boxed{\red{Answer }}}}}}\implies$$\huge\bold{\mathscr{\frac{7}{4}}}$

$\large\star{\green{\mathfrak{\underline{Explanation:}}}}$

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We know the independent values of

Sin30° = $\large\frac{1}{2}$

and

Sin60°=$\large\frac{\sqrt{3}}{2}$

So,

sin²30°+2sin²60°

$\implies$ $\large\ { \frac{1}{2} }^{2}$ +${2 \times \frac{ \sqrt{3} }{2} }^{2}$

$\large\implies$$\large \frac{1}{4} + \frac{3}{2}$

$\implies$$\large\frac{1+6}{4}$

$\blacksquare$$\huge\frac{7}{4}$

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