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

The general solution for cos(x+pi/4)+cos(x-pi/4)=1 is x= pi/4+2pin,x=(7pi)/4+2pin

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

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

x = \frac{π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

Solution steps

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

Rewrite using trig identities

2 cos (x) = 1

Divide both sides by

2

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

General solutions for

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

x = \frac{π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

cos (6 x) + cos (3 x) = 0

sin^{2} (x) = 0.5

csc (\frac{θ}{3}) = 6

arcsin (x) = 0

tan (x) = 1.5

What is the general solution for cos(x+pi/4)+cos(x-pi/4)=1 ?
The general solution for cos(x+pi/4)+cos(x-pi/4)=1 is x= pi/4+2pin,x=(7pi)/4+2pin