Question

4/5tan²60°+3sin²60°, Find the values of it

Answer 1

⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐

4 / 5 tan^2 + 3 sin^2 60° =?

We know that,

tan60 ° = √3

Sin 60° = √3/2

So,

4/ 5 × 3 + 3 x 3 / 4

=> 12 / 5 + 9 / 4

=> (48 + 45 )/ 20

=> 93 / 20

=> 46.5

⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐

Answer 2

$\large{ Hey \: there! } \\ \\ \frac{4}{5} ( { \tan}^{2} 60) + 3( { \sin }^{2} 60) \\ \\ = \frac{4}{5} ( \sqrt{3} ) ^{2} + 3( \frac{ \sqrt{3} }{2} ) ^{2} \\ \\ = \frac{4}{5} (3) + 3( \frac{3}{4} ) \\ = \frac{12}{5} + \frac{9}{4} \\ \\ = \frac{12(4) + 9(5)}{20} \\ \\ = \frac{48 + 45}{20} \\ \\ = \frac{93}{20}$

Hope helped!