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

The general solution for tan(x)=-(sqrt(3))/2 is x=-0.71372…+pin

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tan(x)=-(sqrt(3))/2

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

x = - 0.71372 \dots + πn

Degrees

x = - 40.89339 \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 = - 0.71372 \dots + πn

3 sin (x) cos (x) = sin (x)

cos (\frac{5 x}{10}) = \frac{2}{2}

2 cos (θ) tan (θ) - tan (θ) = 0

3 csc (x) = 2, 3 csc (x) = 2

3 csc (x) + 2 = 4

What is the general solution for tan(x)=-(sqrt(3))/2 ?
The general solution for tan(x)=-(sqrt(3))/2 is x=-0.71372…+pin