Question

tan^2 60° + sec^2 30°​

Answer 1

Answer:

tan60 = root3

tan²60 = 3

sec30 = 2/root3

sec²30 = 4/3

so 3 + 4/3 = (9+4)/3

= 13/3

Answer 2

$\huge\tt\colorbox{black}{\red{Answer}}$

$= tan²60⁰ + sec²30⁰$

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

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

$= \frac{9 + 4}{3}$

$\bold\red{= \frac{13}{3}}$