What is the general solution for sin(x+pi/3)+sin(x-pi/3)=1 ?

The general solution for sin(x+pi/3)+sin(x-pi/3)=1 is x= pi/2+2pin

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sin(x+pi/3)+sin(x-pi/3)=1

sin (x + \frac{π}{3}) + sin (x - \frac{π}{3}) = 1

x = \frac{π}{2} + 2 πn

Solution steps

sin (x + \frac{π}{3}) + sin (x - \frac{π}{3}) = 1

Rewrite using trig identities

sin (x) = 1

General solutions for

sin (x) = 1

x = \frac{π}{2} + 2 πn

sec^{2} (x) = 4

1 + 2 cos (x) = 0

sin (2 x) = 3 cos (x)

arctan (x) = 1

tan (\frac{x}{2}) = 3

What is the general solution for sin(x+pi/3)+sin(x-pi/3)=1 ?
The general solution for sin(x+pi/3)+sin(x-pi/3)=1 is x= pi/2+2pin