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

The general solution for 2cos(x)=3sin(x) is x=0.58800…+pin

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2cos(x)=3sin(x)

2 cos (x) = 3 sin (x)

x = 0.58800 \dots + πn

Solution steps

2 cos (x) = 3 sin (x)

Rewrite using trig identities

3 tan (x) = 2

Divide both sides by

3

tan (x) = \frac{2}{3}

Apply trig inverse properties

x = arctan (\frac{2}{3}) + πn

Show solutions in decimal form

x = 0.58800 \dots + πn

4 sin^{2} (θ) - 8 cos (θ) + 1 = 0

sin (x) cos (\frac{π}{7}) - sin (\frac{π}{7}) cos (x) = \frac{2}{2}

20 sin (t) cos (t) = - 16 cos (t)

cos (x + 2 5^{\circ}) sec (6 5^{\circ} - x) = 1

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

What is the general solution for 2cos(x)=3sin(x) ?
The general solution for 2cos(x)=3sin(x) is x=0.58800…+pin