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

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

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3sin(x)=2cos(x)

3 sin (x) = 2 cos (x)

x = 0.58800 \dots + πn

Solution steps

3 sin (x) = 2 cos (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

5 cot (x) + 2 csc^{2} (x) = 5

cos (2 x) = \frac{4}{5}

tan (x) = \frac{160}{85}

sin (x) a = π

sin (5 x) + sin (x) = 0

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