What is the general solution for tan(x)=-2,0<= x<= 2pi ?

The general solution for tan(x)=-2,0<= x<= 2pi is x=-1.10714…+pi,x=-1.10714…+2pi

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tan(x)=-2,0<= x<= 2pi

tan (x) = - 2, 0 \leq x \leq 2 π

x = - 1.10714 \dots + π, x = - 1.10714 \dots + 2 π

Degrees

x = 116.56505 \dots^{\circ}, x = 296.56505 \dots^{\circ}

Solution steps

tan (x) = - 2, 0 \leq x \leq 2 π

Apply trig inverse properties

tan (x) = - 2

General solutions for

tan (x) = - 2

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

x = arctan (- 2) + πn

x = arctan (- 2) + πn

Solutions for the range

0 \leq x \leq 2 π

x = - arctan (2) + π, x = - arctan (2) + 2 π

Show solutions in decimal form

x = - 1.10714 \dots + π, x = - 1.10714 \dots + 2 π

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cos (θ) = \frac{33}{55}

\frac{120}{sin ( x )} = \frac{30}{sin ( 8 )}

sin (2 x) = \frac{( 2 m - 2 )}{7}

cos (4 x) cos (x) - sin (4 x) sin (x) = \frac{1}{2}

What is the general solution for tan(x)=-2,0<= x<= 2pi ?
The general solution for tan(x)=-2,0<= x<= 2pi is x=-1.10714…+pi,x=-1.10714…+2pi