What is the general solution for tan(x)=-1/2 ?

The general solution for tan(x)=-1/2 is x=-0.46364…+pin

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tan(x)=-1/2

tan (x) = - \frac{1}{2}

x = - 0.46364 \dots + πn

Degrees

x = - 26.56505 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = - \frac{1}{2}

Apply trig inverse properties

tan (x) = - \frac{1}{2}

General solutions for

tan (x) = - \frac{1}{2}

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

x = arctan (- \frac{1}{2}) + πn

x = arctan (- \frac{1}{2}) + πn

Show solutions in decimal form

x = - 0.46364 \dots + πn

sin (θ) + cos (θ) = 1

cos (x^{2}) = 0

sec^{2} (x) = 2 sec (x)

sin (x) = \frac{2}{5}

cos (\frac{θ}{2}) = \frac{3}{2}

What is the general solution for tan(x)=-1/2 ?
The general solution for tan(x)=-1/2 is x=-0.46364…+pin