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

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

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

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

x = \frac{π}{4} + πn

Solution steps

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

Subtract

cos (x) - 3

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

sin (x) + 4 csc (x) + 5 = 0

sin (x) = \frac{5}{9}

sin (x) = \frac{5}{3}

tan (3 x) = \frac{1}{3}

7 cot (x) - 3 = 4 cot (x)

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