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

The general solution for cos(x-3/2 pi)=-(sqrt(2))/2 is x=2pin+(9pi)/4 ,x=2pin+(11pi)/4

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cos(x-3/2 pi)=-(sqrt(2))/2

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

x = 2 πn + \frac{9 π}{4}, x = 2 πn + \frac{11 π}{4}

Solution steps

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

General solutions for

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

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

Solve

x - \frac{3}{2} π = \frac{3 π}{4} + 2 πn : x = 2 πn + \frac{9 π}{4}

Solve

x - \frac{3}{2} π = \frac{5 π}{4} + 2 πn : x = 2 πn + \frac{11 π}{4}

x = 2 πn + \frac{9 π}{4}, x = 2 πn + \frac{11 π}{4}

tan (2 θ) = 0.5

146 = (8 - cos (θ))^{2} + (- 9 - sin (θ))^{2}

cos (x) = \frac{9}{10}

34 \cdot sin (\frac{π}{6} (x - 4.3)) = 34

2 (sin (x)) 2 - 5 cos (x) - 4 = 0

What is the general solution for cos(x-3/2 pi)=-(sqrt(2))/2 ?
The general solution for cos(x-3/2 pi)=-(sqrt(2))/2 is x=2pin+(9pi)/4 ,x=2pin+(11pi)/4