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

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

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cos(x+pi/2)=sin(x)

cos (x + \frac{π}{2}) = sin (x)

x = 2 πn, x = π + 2 πn

Solution steps

cos (x + \frac{π}{2}) = sin (x)

Rewrite using trig identities

- sin (x) = sin (x)

Subtract

sin (x)

from both sides

- 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

cos (x) tan (x) + cos (x) = 0

2 sin^{2} (2 θ) = 1 + sin (2 θ)

sin (2 x) - cos (x) = 0, 0 \leq x \leq 2 π

csc (θ) = - \frac{2}{3}

2 cos (\frac{x}{2}) + 3 = 0

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