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

The general solution for cos(x+pi/4)=0 is x=2pin+pi/4 ,x=2pin+(5pi)/4

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cos(x+pi/4)=0

cos (x + \frac{π}{4}) = 0

x = 2 πn + \frac{π}{4}, x = 2 πn + \frac{5 π}{4}

Solution steps

cos (x + \frac{π}{4}) = 0

General solutions for

cos (x + \frac{π}{4}) = 0

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

Solve

x + \frac{π}{4} = \frac{π}{2} + 2 πn : x = 2 πn + \frac{π}{4}

Solve

x + \frac{π}{4} = \frac{3 π}{2} + 2 πn : x = 2 πn + \frac{5 π}{4}

x = 2 πn + \frac{π}{4}, x = 2 πn + \frac{5 π}{4}

sin^{2} (θ) cos (θ) + cos^{3} (θ) = - \frac{1}{2}

csc (x) = cot (x) + 1

2 sin^{2} (x) + 7 sin (x) + 3 = 0

2 sin (3 x - \frac{π}{3}) = - 3

2 cos (2 x - \frac{π}{2}) = 3

What is the general solution for cos(x+pi/4)=0 ?
The general solution for cos(x+pi/4)=0 is x=2pin+pi/4 ,x=2pin+(5pi)/4