Question

prove that B=30° sin 2B=2 sinB•cosB​

Answer 1

Answer:

[ sin60° = √3/2 ] , [ sin30° = 1/2] , [ cos30° = √3/2]

substitute the value of B in the formulae ,

sin (2× 30° ) = 2sin30°cos30°

sin ( 60° ) = 2 (1/2)(√3/2)

√3/2 = √3/2

LHS = RHS

Hence proved✓✓✓