What is the general solution for 3-cos(x)=3-sin(x) ?

The general solution for 3-cos(x)=3-sin(x) is x= pi/4+pin

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3-cos(x)=3-sin(x)

3 - cos (x) = 3 - sin (x)

x = \frac{π}{4} + πn

Solution steps

3 - cos (x) = 3 - sin (x)

Subtract

3 - sin (x)

from both 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

cos (t) = \frac{1}{3}, 0 < t < \frac{1}{2} π

x, sin (x) - cos (x) = 1

x, sin (x) cos (y) = 1

sin (4 x) cos (7 x) - cos (4 x) sin (7 x) = - 0.6

cos (x) = \frac{40}{41}

What is the general solution for 3-cos(x)=3-sin(x) ?
The general solution for 3-cos(x)=3-sin(x) is x= pi/4+pin