What is the general solution for sin(x+pi/3)-sin(x-pi/3)=0 ?

The general solution for sin(x+pi/3)-sin(x-pi/3)=0 is x= pi/2+2pin,x=(3pi)/2+2pin

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sin(x+pi/3)-sin(x-pi/3)=0

sin (x + \frac{π}{3}) - sin (x - \frac{π}{3}) = 0

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

Solution steps

sin (x + \frac{π}{3}) - sin (x - \frac{π}{3}) = 0

Rewrite using trig identities

3 cos (x) = 0

Divide both sides by

3

cos (x) = 0

General solutions for

cos (x) = 0

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

- tan (2 x) + 2 sin (x) = 0

10 tan (a) + 8 = 5 tan (a) + 3

cos (x) csc (x) = - 2 cos (x)

cos (2 x) + cos (4 x) = 0

2 sin (\frac{x}{3}) = 1

What is the general solution for sin(x+pi/3)-sin(x-pi/3)=0 ?
The general solution for sin(x+pi/3)-sin(x-pi/3)=0 is x= pi/2+2pin,x=(3pi)/2+2pin