Question

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$\large\boxed{ \bold{ \star \: EVALUATE : }}$
$\tt{ \sin(60) \cos(30) + \cos(60) \sin(30) }$
​

Answer 1

SOLUTION

sin60°.cos30° + cos60°.sin30°

$= > \frac{ \sqrt{3} }{2} \times \frac{ \sqrt{3} }{2} + \frac{1}{2} \times \frac{1}{2} \\ \\ = > \frac{3}{4} + \frac{1}{4} \\ \\ = > \frac{4}{4} = 1 \\ \\ = > 1 \: \: \: \: [Answer]$

Hope it helps ☺️

Answer 2

$\red {\huge {\underline{ \frak{Your \: answEr : }}}}$

$\boxed{\blacksquare \: \mathfrak{trigonometric \: values}}$

$\scriptsize \tt{ \sin(60) = \frac{ \sqrt{3} }{2} }$

$\scriptsize \tt{ \cos(30) = \frac{ \sqrt{3} }{2} }$

$\scriptsize \tt{ \cos(60) = \frac{1}{2} }$

$\scriptsize \tt{ \sin(30) = \frac{1}{2} }$

$\boxed{\blacksquare \: \mathfrak{now \: head \: to \: the \: question}}$

$\Rightarrow \bold{ \sin(60) \cos(30) + \cos(60) \sin(30) }$

• Plugging in the Values ;

$\large\Rightarrow \bold{( \frac{ \sqrt{3} }{2} \times \frac{ \sqrt{3} }{2} ) + (\frac{1}{2} \times \frac{1}{2} ) }$

$\large\Rightarrow \bold{ \frac{3}{4} + \frac{1}{4} }$

$\large\Rightarrow \bold{ \frac{4}{4} }$

$\huge\blue{\boxed{\large\Rightarrow \bold{ 1 }}}$

$\huge{\red{\ddot{\smile}}}$