What is the general solution for 3-2cos(θ)=3-2sin(θ) ?

The general solution for 3-2cos(θ)=3-2sin(θ) is θ= pi/4+pin

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3-2cos(θ)=3-2sin(θ)

3 - 2 cos (θ) = 3 - 2 sin (θ)

θ = \frac{π}{4} + πn

Solution steps

3 - 2 cos (θ) = 3 - 2 sin (θ)

Subtract

3 - 2 sin (θ)

from both sides

2 sin (θ) - 2 cos (θ) = 0

Rewrite using trig identities

2 tan (θ) - 2 = 0

Move

2

to the right side

2 tan (θ) = 2

Divide both sides by

2

tan (θ) = 1

General solutions for

tan (θ) = 1

θ = \frac{π}{4} + πn

(4 cos (x) - 2 sin (x))^{2} + 12 sin^{2} (x) = 16

arcsin (x) = π

y = sin (2 x), x

(1 + cos (x)) (1 + cos (2 x)) = \frac{1}{4}

x, y + 3 = 2 sin (4 x)

What is the general solution for 3-2cos(θ)=3-2sin(θ) ?
The general solution for 3-2cos(θ)=3-2sin(θ) is θ= pi/4+pin