What is the general solution for tan(x)=-2sqrt(6),(3pi)/2 <x<2pi ?

The general solution for tan(x)=-2sqrt(6),(3pi)/2 <x<2pi is x=-1.36943…+2pi

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tan(x)=-2sqrt(6),(3pi)/2 <x<2pi

tan (x) = - 26, \frac{3 π}{2} < x < 2 π

x = - 1.36943 \dots + 2 π

Degrees

x = 281.53695 \dots^{\circ}

Solution steps

tan (x) = - 26, \frac{3 π}{2} < x < 2 π

Apply trig inverse properties

tan (x) = - 26

General solutions for

tan (x) = - 26

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

x = arctan (- 26) + πn

x = arctan (- 26) + πn

Solutions for the range

\frac{3 π}{2} < x < 2 π

x = - arctan (26) + 2 π

Show solutions in decimal form

x = - 1.36943 \dots + 2 π

- sin^{2} (x) + cos^{2} (x) = 1

tan^{2} (x) - 4 sec (x) = 4

sin (x + 1 0^{\circ}) = - tan (1 5^{\circ})

tan (2 θ) = \frac{73 - 8}{- 10}

x, T (7) = 3.15 cos (\frac{π}{6} x) + 19.15

What is the general solution for tan(x)=-2sqrt(6),(3pi)/2 <x<2pi ?
The general solution for tan(x)=-2sqrt(6),(3pi)/2 <x<2pi is x=-1.36943…+2pi