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

The general solution for sin(pi/2)=cos(x) is x=2pin

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sin(pi/2)=cos(x)

sin (\frac{π}{2}) = cos (x)

x = 2 πn

Solution steps

sin (\frac{π}{2}) = cos (x)

sin (\frac{π}{2}) = 1

1 = cos (x)

Switch sides

cos (x) = 1

General solutions for

cos (x) = 1

x = 0 + 2 πn

Solve

x = 0 + 2 πn : x = 2 πn

x = 2 πn

3 sin^{2} (x) = 3 - sin^{2} (x)

x, arcsin (\frac{x}{16}) = 31

sin (x) (2 cos^{2} (x) - 1) = 0

tan (θ) = \frac{1}{8}

4 sin^{2} (x) + 2 sin (x) - 1 = 0

What is the general solution for sin(pi/2)=cos(x) ?
The general solution for sin(pi/2)=cos(x) is x=2pin