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

The general solution for 2sin(θ)=3cos(θ) is θ=0.98279…+pin

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2sin(θ)=3cos(θ)

2 sin (θ) = 3 cos (θ)

θ = 0.98279 \dots + πn

Solution steps

2 sin (θ) = 3 cos (θ)

Rewrite using trig identities

2 tan (θ) = 3

Divide both sides by

2

tan (θ) = \frac{3}{2}

Apply trig inverse properties

θ = arctan (\frac{3}{2}) + πn

Show solutions in decimal form

θ = 0.98279 \dots + πn

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

sin (θ) = - \frac{7}{25}, cos (\frac{θ}{2}), 27 0^{\circ} < θ < 36 0^{\circ}

tan (x) + sin (x) = \frac{( sin ( x ) + 1 )}{cos ( x )}

x, cos (2 x) = sin (x)

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

What is the general solution for 2sin(θ)=3cos(θ) ?
The general solution for 2sin(θ)=3cos(θ) is θ=0.98279…+pin