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

The general solution for sin(x-pi/2)=-(sqrt(2))/2 is x=2pin+(7pi)/4 ,x=2pin+(9pi)/4

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sin(x-pi/2)=-(sqrt(2))/2

sin (x - \frac{π}{2}) = - \frac{2}{2}

x = 2 πn + \frac{7 π}{4}, x = 2 πn + \frac{9 π}{4}

Solution steps

sin (x - \frac{π}{2}) = - \frac{2}{2}

General solutions for

sin (x - \frac{π}{2}) = - \frac{2}{2}

x - \frac{π}{2} = \frac{5 π}{4} + 2 πn, x - \frac{π}{2} = \frac{7 π}{4} + 2 πn

Solve

x - \frac{π}{2} = \frac{5 π}{4} + 2 πn : x = 2 πn + \frac{7 π}{4}

Solve

x - \frac{π}{2} = \frac{7 π}{4} + 2 πn : x = 2 πn + \frac{9 π}{4}

x = 2 πn + \frac{7 π}{4}, x = 2 πn + \frac{9 π}{4}

cos (x) = \frac{1}{10}

- 8 sin (θ) + 5 = 5

(csc (a) + 1) (csc (a) + 1) = cot^{2} (a)

43 sec (θ) + 7 = - 1

tan (θ) = m

What is the general solution for sin(x-pi/2)=-(sqrt(2))/2 ?
The general solution for sin(x-pi/2)=-(sqrt(2))/2 is x=2pin+(7pi)/4 ,x=2pin+(9pi)/4