Question

write the value tan2 30° +tan2 60°​

Answer 1

Step-by-step explanation:

HEY MATE..........

${tan}^{2} 30 + {tan}^{2} 60 ...... \\ \\ \\ by \: trigonometric \: ratios \: \\ \\ we \: have \\ \\ tan30 = \frac{1}{ \sqrt{3} } \\ \\ tan60 = \sqrt{3} \\ \\ by \: substituting \: above \: values \: \\ we \: get \\ \\ \frac{ {1}^{2} }{ \sqrt{3} } + { \sqrt{3} }^{2} \\ \\ \implies \frac{1}{3} + 3 \\ \\ \implies \frac{1}{3} + \frac{3}{1} \\ \\ \implies \frac{3 + 1}{3} \\ \\ \implies \frac{4}{3}$

HOPE IT HELPS YOU

Answer 2

Answer:

10/3

Step-by-step explanation:

$tan^{2}30 + tan^{2}60$

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

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

$\frac{1+9}{3}$

$\frac{10}{3}$