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

The general solution for sin(θ)=2cos(θ) is θ=1.10714…+pin

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sin(θ)=2cos(θ)

sin (θ) = 2 cos (θ)

θ = 1.10714 \dots + πn

Solution steps

sin (θ) = 2 cos (θ)

Rewrite using trig identities

tan (θ) = 2

Apply trig inverse properties

θ = arctan (2) + πn

Show solutions in decimal form

θ = 1.10714 \dots + πn

2 cos^{2} (w) + 5 cos (w) + 3 = 0

tan (x) = - 135

3 cos (x) - 4 sin (x) = - 3

6 = 50 sin (x) - 15 cos (x), 0 < x < \frac{π}{2}

y, x = 3 sin (y)

What is the general solution for sin(θ)=2cos(θ) ?
The general solution for sin(θ)=2cos(θ) is θ=1.10714…+pin