What is the general solution for tan(x)=-3/2 ?

The general solution for tan(x)=-3/2 is x=-0.98279…+pin

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tan(x)=-3/2

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

x = - 0.98279 \dots + πn

Degrees

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

Solution steps

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

Apply trig inverse properties

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

General solutions for

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

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

x = arctan (- \frac{3}{2}) + πn

x = arctan (- \frac{3}{2}) + πn

Show solutions in decimal form

x = - 0.98279 \dots + πn

cos (2 θ) + 4 sin^{2} (θ) = 2

- 4 cos (4 x) = 0

4 csc^{2} (θ) - 25 = 0

tan (3 x) = 5

x, cos (x) - sin (x) = 0

What is the general solution for tan(x)=-3/2 ?
The general solution for tan(x)=-3/2 is x=-0.98279…+pin