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

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

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sin(θ)-cos(θ)=0

sin (θ) - cos (θ) = 0

θ = \frac{π}{4} + πn

Solution steps

sin (θ) - cos (θ) = 0

Rewrite using trig identities

tan (θ) - 1 = 0

Move

1

to the right side

tan (θ) = 1

General solutions for

tan (θ) = 1

θ = \frac{π}{4} + πn

cot (3 x) = - 3, 0 \leq x \leq 2 π

3 cos^{2} (x) + sin^{2} (x) = 3

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

sin^{2} (θ) + 2 - cos^{2} (θ) = 3 sin (θ)

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

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