Math, asked by Anonymous, 8 months ago

Q:-show that  \frac{2tan30}{1 +  {tan}^{2}30 } =sin60

Answers

Answered by Anonymous
16

\green{\bold{\underline{ ✪ ASPIRANT✪ }}}

\red{\bold{\underline{\underline{QUESTION:-}}}}

Q:-show that  \frac{2tan30}{1 +  {tan}^{2}30 } =sin60

\huge\tt\underline\blue{Answer }

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _✍️

══════════XXX═════════════

 \frac{2tan30}{1 +  {tan}^{2}30 }

⟹ \frac{2 \times   \frac{1}{ \sqrt{3} } }{1 + ( { \frac{1}{ \sqrt{3} }) }^{2} } </p><p>

⟹</p><p> \frac{ \frac{2}{ \sqrt{3} } }{1 +  \frac{1}{3} }

⟹</p><p> \frac{ \frac{2}{ \sqrt{3} } }{ \frac{4}{3} }  =  \frac{2}{ \sqrt{3} }  \times  \frac{3}{4}

⟹ \frac{2}{ \sqrt{3} }  \times  \frac{ \sqrt{3}  \times  \sqrt{3} }{4}  =  \frac{2 \sqrt{3} }{4}  =   \frac{ \sqrt{3} }{2} </p><p>

Hence proved

══════════XXX═════════════

HOPE IT HELPS YOU..

_____________________

Thankyou:)

Answered by Anonymous
0

Answer:

i hope it will help u alot

Attachments:
Similar questions