What is the general solution for 4sin(θ)=-2cos(θ) ?

The general solution for 4sin(θ)=-2cos(θ) is θ=-0.46364…+pin

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4sin(θ)=-2cos(θ)

4 sin (θ) = - 2 cos (θ)

θ = - 0.46364 \dots + πn

Solution steps

4 sin (θ) = - 2 cos (θ)

Rewrite using trig identities

4 tan (θ) = - 2

Divide both sides by

4

tan (θ) = - \frac{1}{2}

Apply trig inverse properties

θ = arctan (- \frac{1}{2}) + πn

Show solutions in decimal form

θ = - 0.46364 \dots + πn

cot (2 x) = - 1, (0, 2 π)

(sin (x) + 2) (tan (x) - 2) = 0

sec^{2} (x) + 4 sec (x) - 12 = 0

sin (θ) = - 1, 0^{\circ} \leq θ < 36 0^{\circ}

3 cos^{2} (x) + sin (x) + 1 = 0

What is the general solution for 4sin(θ)=-2cos(θ) ?
The general solution for 4sin(θ)=-2cos(θ) is θ=-0.46364…+pin