What is the general solution for cos(x+(3pi)/4)-cos(x-(3pi)/4)=0 ?

The general solution for cos(x+(3pi)/4)-cos(x-(3pi)/4)=0 is x=2pin,x=pi+2pin

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cos(x+(3pi)/4)-cos(x-(3pi)/4)=0

cos (x + \frac{3 π}{4}) - cos (x - \frac{3 π}{4}) = 0

x = 2 πn, x = π + 2 πn

Solution steps

cos (x + \frac{3 π}{4}) - cos (x - \frac{3 π}{4}) = 0

Rewrite using trig identities

- 2 sin (x) = 0

Divide both sides by

- 2

sin (x) = 0

General solutions for

sin (x) = 0

x = 0 + 2 πn, x = π + 2 πn

Solve

x = 0 + 2 πn : x = 2 πn

x = 2 πn, x = π + 2 πn

tan (x) = \frac{50}{100}

sin (- x) = 0

cos (x) = \frac{4}{6}

2 cot^{2} (x) - 5 = sec^{2} (x) - tan^{2} (x)

9 (1 - sin (θ)) = 9

What is the general solution for cos(x+(3pi)/4)-cos(x-(3pi)/4)=0 ?
The general solution for cos(x+(3pi)/4)-cos(x-(3pi)/4)=0 is x=2pin,x=pi+2pin