Question

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Answer 1

Answer:

$\huge\bold\red{ANSWER}$

Step-by-step explanation:

→   $\large{\underline{\rm{\red{SOLUTION :}}}}$

$\implies \sf \blue{\frac{sin20^o}{cos20^o}+4sin20^o}$

$\implies \sf \green{\frac{sin20^o+2(2sin20^ocos20^o)}{cos^o}}$

$\implies \sf \yellow{\frac{sin20^o+2sin40^o}{cos20^o}}$

$\implies \sf \orange{\frac{sin20^o+4sin(60^o-20^o)}{cos20^o}}$

$\implies \sf \pink{\frac{sin20^o+2(sin60^ocos20^o-cos60^osin20^o)}{cos20^o}}$

$\implies \sf \purple{\frac{sin20^o+2(\frac{\sqrt{3}}{2} cos20^o-\frac{1}{2} sin 20^o)}{cos20^o}}$

$\implies \sf \violet{\frac{sin20^o+\sqrt{3}cos20^0-sin20^0}{cos20^o}}$

$\implies \sf \brown{\frac{\sqrt{3}cos20^o}{cos20^o}}$

$\implies \sf \boxed{\sqrt{3}}$

∴ $\sf {Hope\:it\:helps\:you}$