Question

prove that (✓3+1) (3-cot30°)= tan^3 60°-2sin60°​

Answer 1

Step-by-step explanation:

cot 30 = √3

3-cot 30= 3-√3

(√3+1)(3-cot30) =(2√3)_ _ _ _(1)

tan 60 = √3

tan^3 60 = 3√3

sin 60 = √3/2

2 sin 60 =√ 3

tan^ 3 60- 2 sin 60 = 2√ 3_ _ _ (2)

from (1) and (2) both are equal

hence proved.