Question

find the value of
$\frac{tan {}^{2} 60 + cot^{2}30 }{sin {}^{2}30 \ + cos {}^{2} 60}$
​

Answer 1

Answer: 12

Step-by-step explanation:

tan(60°)=√3, cot(30°)=√3, sin(30°)= 1/2, cos(60°)=1/2

Substituting these values in the given expression, we get

$\frac{(\sqrt{3}) ^{2} +(\sqrt{3}) ^{2} }{(0.5)^{2}+(0.5)^{2}}$

=$\frac{3+3}{0.25+0.25} =\frac{6}{0.5} = 6(2) = 12$