Question

Prove the following :
sin60° = 2sin30°.cos30° = 2tan30°/1+tan230°

Answer 1

Answer:

sin 60=(3)^1/2/2 (1)

2sin30cos30=2×1/2×(3)^1/2/2

=(3)^1/2/2 (2)

2tan30/1+tan^230=2×1/(3)^1/2 /1+1/3

=2/(3)^1/2 /4/3

=(3)^1/2/2 (3)

from (1) (2) (3)

sin60=2sin30cos30=2tan30/1+tan^230