Question

find the value of tan square 60 degree + cos square 30 degrees / sin square 30 degrees + cos square 60 degrees​

Answer 1

Answer:

tan 60 = $\sqrt{3}$

cos 30 = $\sqrt{3\\}$/2

sin 30 = 1/2

cos 60 = 1/2

=> ($\sqrt{3\\}$)² + ($\sqrt{3\\}$/2)² / (1/2)² + (1/2)²

=>15/2

Answer 2

HEY MATE YOUR ANSWER IS HERE...

★BY USING TRIGNOMATERIC IDENTITY★

$tan \: 60 = \sqrt{3} \\ \\ cos \: 30 = \frac{ \sqrt{3} }{2} \\ \\ sin \: 30 = \frac{1}{2} \\ \\ cos \: 60 = \frac{1}{2}$

★NOW ACCORDING TO THE QUESTION★

$\frac{ {tan}^{2} \: 60 \: + \: {cos}^{2} 30}{ {sin}^{2}30 \: + \: { cos }^{2} \: 60 }$

$\frac{(\sqrt{3} )^{2} + (\frac{ \sqrt{3} }{2} ) ^{2} }{ (\frac{1}{2})^{2} + \: {( \frac{1}{2}) }^{2} }$

$\frac{3 + \frac{3}{4} }{ \frac{1}{4} + \frac{1}{4} }$

$\frac{ \frac{15}{4} }{ \frac{2}{4} }$

$= \frac{15}{2}$

THANKS FOR YOUR QUESTION HOPE THIS HELPS..

★ KEEP SMILING ☺️✌️ ★