What is the general solution for tan(x)=(1.5)/2 ?

The general solution for tan(x)=(1.5)/2 is x=0.64350…+pin

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tan(x)=(1.5)/2

tan (x) = \frac{1.5}{2}

x = 0.64350 \dots + πn

Degrees

x = 36.86989 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{1.5}{2}

Apply trig inverse properties

tan (x) = \frac{1.5}{2}

General solutions for

tan (x) = \frac{1.5}{2}

tan (x) = a \Rightarrow x = arctan (a) + πn

x = arctan (\frac{1.5}{2}) + πn

x = arctan (\frac{1.5}{2}) + πn

Show solutions in decimal form

x = 0.64350 \dots + πn

3 csc^{2} (x) - 5 csc (x) = 2

tan (2 x) - 3 tan (x) = 0

4 sin (x) - 3 cos (x) = 0

25 cos^{2} (3 x) + 10 cos (3 x) = 15

5 cos^{2} (x) = 6 sin (x)

What is the general solution for tan(x)=(1.5)/2 ?
The general solution for tan(x)=(1.5)/2 is x=0.64350…+pin