What is the general solution for sin(x)-1=cos(x)-1 ?

The general solution for sin(x)-1=cos(x)-1 is x= pi/4+pin

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

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

x = \frac{π}{4} + πn

Solution steps

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

Subtract

cos (x) - 1

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

3 cot (x) = tan (x)

cot (θ) + 2 csc (θ) = 3

cos^{2} (x) = 2 sin (x) + 2

2 sin^{2} (x) - 4 sin (x) - 6 = 0

cos^{2} (2 x) = \frac{1}{2} - \frac{1}{2} cos (2 x)

What is the general solution for sin(x)-1=cos(x)-1 ?
The general solution for sin(x)-1=cos(x)-1 is x= pi/4+pin