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

The general solution for tan(x)=1.5 is x=0.98279…+pin

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tan(x)=1.5

tan (x) = 1.5

x = 0.98279 \dots + πn

Degrees

x = 56.30993 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = 1.5

Apply trig inverse properties

tan (x) = 1.5

General solutions for

tan (x) = 1.5

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

x = arctan (1.5) + πn

x = arctan (1.5) + πn

Show solutions in decimal form

x = 0.98279 \dots + πn

tan (3 x) = - 3

1 = cos (x)

(cot (θ) - 1) (2 sin (θ) + 1) = 0

sin (θ) = \frac{4}{7}

sin^{2} (θ) + 3 sin (θ) - 4 = 0

What is the general solution for tan(x)=1.5 ?
The general solution for tan(x)=1.5 is x=0.98279…+pin