What is the general solution for 0=sin(x)-cos(x) ?

The general solution for 0=sin(x)-cos(x) is x= pi/4+pin

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0=sin(x)-cos(x)

0 = sin (x) - cos (x)

x = \frac{π}{4} + πn

Solution steps

0 = sin (x) - cos (x)

Switch sides

sin (x) - cos (x) = 0

Rewrite using trig identities

tan (x) - 1 = 0

Move

1

to the right side

tan (x) = 1

General solutions for

tan (x) = 1

x = \frac{π}{4} + πn

1 - tan^{2} (x) = sec^{2} (x)

cos (2 θ - \frac{π}{2}) = - 1, 0 \leq θ < 2 π

sinh (x) = - \frac{3}{4}

tan (3 θ) = 1

7 - 7 sin (θ) = 7

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