Find the values of -
(i) $5 s i n 30^{\circ} + 3 t a n 45^{\circ}$

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Solution

$5 s i n 30^{\circ} + 3 t a n 45^{\circ}$
we know
$s i n 30 = \frac{1}{2}$ and $t a n 45 = 1$
$\Rightarrow 5 \times \frac{1}{2} + 3 \times 1 = \frac{5}{2} + 3$
$\Rightarrow \frac{5 + 6}{2} = \frac{11}{2} .$

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