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

Solution steps

tan (x) = - 2, 0 \leq x \leq 2 π

Apply trig inverse properties

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 (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