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

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

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sin(x+pi/3)+sin(x-pi/3)=(sqrt(3))/2

sin (x + \frac{π}{3}) + sin (x - \frac{π}{3}) = \frac{3}{2}

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

Solution steps

sin (x + \frac{π}{3}) + sin (x - \frac{π}{3}) = \frac{3}{2}

Rewrite using trig identities

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

General solutions for

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

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

sin (A) = \frac{12}{13}

csc (A) = \frac{6}{5}, 9 0^{\circ} < A < 18 0^{\circ}

cot (θ) = \frac{- ( 24 )}{( 7 )}

sec^{2} (x) = 3 tan (x) - 1

sec^{2} (x) - 6 = - 4

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