Question

find the value of sin 60/ sin 30​

Answer 1

ᴀɴsᴡᴇʀ-:

${\purple{\huge{\dag}}}$ $\bf{\pink{The~exact~value~of~sin(60)}}$ $\bf\frac{\blue{\sqrt{3}}}{\blue{2}}$

$\bf\frac{\blue{\sqrt{3}}}{\blue{2}}$ + $\bf{\pink{sin(30)}}$

${\purple{\huge{\dag}}}$ $\bf{\pink{The~exact~value~of~sin(60)}}$ $\bf\frac{\blue{1}}{\blue{2}}$

$\bf\frac{\blue{\sqrt{3}}}{\blue{2}}$ + $\bf\frac{\blue{1}}{\blue{2}}$

${\green{\huge{\dag}}}$ ${\sf{\red{The~result~can~be~shown~in~multiple~form.}}}$

$\bf{\green{Exact~Form-:}}$

$\bf\frac{\blue{\sqrt{3}}}{\blue{2}}$ + $\bf\frac{\blue{1}}{\blue{2}}$

$\bf{\green{Decimal~Form-:}}$

$\blue\implies$$\sf{\orange{1.36602540}}$

Answer 2

$\huge{\textsf{\textbf{\color{cyan}{Question}}}}$

find the value of sin 60/ sin 30

$\huge{\textsf{\textbf{\color{cyan}{Answer}}}}$

The exact value of sin(60) is

$\frac{ \sqrt{3} }{2}$

The exact value of sin(30) is

$\frac{1}{2}$

so the value of

$\frac{sin \: 60}{sin \: 30}$

$\frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} }$

$\frac{ \sqrt{3} }{1}$

$= \sqrt{3}$