Question

prove that tan²30°+tan²45°+tan²60°=13/3​

Answer 1

Answer:

it can be proved

Step-by-step explanation:

first of all

$= tan30 = \frac{1}{ \sqrt{3} }$

$tan45 = 1$

$tan60 = \sqrt{3}$

put all these in the equation so we will get

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

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

takin lcm

it becomes

1+3+9/3

13/3 thus lhs equals rhs hence proved ;)

Answer 2

Step-by-step explanation:

tan²30°+tan²45°+tan²60°=13/3

=(1/root3)²+(1)²+(root 3)²

=1/3+1+3

=13/3