What is the general solution for sin(x+pi/4)+sin(x-pi/4)=1 ?

The general solution for sin(x+pi/4)+sin(x-pi/4)=1 is x= pi/4+2pin,x=(3pi)/4+2pin

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sin(x+pi/4)+sin(x-pi/4)=1

sin (x + \frac{π}{4}) + sin (x - \frac{π}{4}) = 1

x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn

Solution steps

sin (x + \frac{π}{4}) + sin (x - \frac{π}{4}) = 1

Rewrite using trig identities

2 sin (x) = 1

Divide both sides by

2

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

General solutions for

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

x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn

csc^{2} (x) + csc (x) - 2 = 0

2 tan (x) - sec (x) = 0

arcsin (x) = \frac{π}{6}

2 sin^{2} (θ) = 3 (cos (θ) + 1)

sin (θ) = 0.3

What is the general solution for sin(x+pi/4)+sin(x-pi/4)=1 ?
The general solution for sin(x+pi/4)+sin(x-pi/4)=1 is x= pi/4+2pin,x=(3pi)/4+2pin