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

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

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cos(θ)-sin(θ)=0

cos (θ) - sin (θ) = 0

θ = \frac{π}{4} + πn

Solution steps

cos (θ) - sin (θ) = 0

Rewrite using trig identities

1 - tan (θ) = 0

Move

1

to the right side

- tan (θ) = - 1

Divide both sides by

- 1

tan (θ) = 1

General solutions for

tan (θ) = 1

θ = \frac{π}{4} + πn

tan^{2} (x) - 9 tan (x) - 10 = 0

(cot (θ) - 1) (csc (θ) - 1) = 0

(tan (θ) - 1) (sec (θ) + 1) = 0

9 cos (x) - 9 sin (x) = 0

sin^{2} (3 x) - sin^{2} (x) = 0

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