SOLUTION: Prove the following identity: sin(30 degrees + x) - sin(30 degrees - x)= sqrt3 sin x

SOLUTION: Prove the following identity: sin(30 degrees + x) - sin(30 degrees - x)= sqrt3 sin x

Algebra.Com

Question 744512: Prove the following identity:
sin(30 degrees + x) - sin(30 degrees - x)= sqrt3 sin x
Answer by sachi(548) (Show Source): You can put this solution on YOUR website!
sin(30 degrees + x) - sin(30 degrees - x)= sqrt3 sin x
LHS=2 cos 30sinx=2*sqrt3/2 sinx=sqrt3 sin x
as sin(A+B)-sin(A-B)=2cosA sinB
RELATED QUESTIONS
sin(x+15 degrees) = cos(2x+30 degrees) (answered by lwsshak3)

Prove the following trig identity: tan x *sin^2 x + sin x*cos x = tan... (answered by greenestamps)

Prove the following identity Csc x - 2 sin x= cos (2x)/sin... (answered by stanbon)

Prove the following identity:... (answered by Edwin McCravy)

Prove the following identity: 2 sec^2 = 1/1- sin x + 1/1+ sin... (answered by lwsshak3)

Cos 30 degrees = Sin ???... (answered by mangopeeler07)

having some problems knowing what fits where please help a)solve the following... (answered by stanbon)

Simplify Sin(30+x) +... (answered by jim_thompson5910)

Prove the identity: {{{sin(3x) = 3*sin(x) � 4*(sin(x))^3}}} (x is... (answered by jim_thompson5910)