Question

4tan30°sin45°sin60°sin90°=
$\sqrt{2}$
​

Answer 1

Answer:

because sin cos and tan are equally dividdes

Answer 2

Answer:

4tan30°sin45°sin60°sin90°=√2

$4 \times \frac{1}{ \sqrt{3} } \times \frac{1}{ \sqrt{2} } \times \frac{ \sqrt{3} }{2} \times 1$

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

$\frac{2}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} }$

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

$= \sqrt{2}$

$hence \: proved$