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

Solution steps

tan (x) = - 1.5

Apply trig inverse properties

x = arctan (- 1.5) + πn

Show solutions in decimal form

x = - 0.98279 \dots + πn

2 cos^{2} (x) + cos (x) - 3 = 0

5 sin (θ) tan (θ) - 10 tan (θ) + 3 sin (θ) - 6 = 0

3 cos^{2} (θ) + 6 cos (θ) - 4 = 0

arccos (x) = 1

cos (x) = \frac{3}{4}

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