What is the general solution for tan(x)=-1/5 ?

The general solution for tan(x)=-1/5 is x=-0.19739…+pin

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tan(x)=-1/5

tan (x) = - \frac{1}{5}

x = - 0.19739 \dots + πn

Degrees

x = - 11.30993 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = - \frac{1}{5}

Apply trig inverse properties

tan (x) = - \frac{1}{5}

General solutions for

tan (x) = - \frac{1}{5}

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

x = arctan (- \frac{1}{5}) + πn

x = arctan (- \frac{1}{5}) + πn

Show solutions in decimal form

x = - 0.19739 \dots + πn

2 + 2 cos (x) = 0

2 sin (θ) sec (θ) = 4 sin (θ)

sec (x - \frac{π}{7}) cos (x - \frac{π}{7}) = sin (x - \frac{π}{7})

cos (x) = \frac{17}{28}

sec^{4} (x) - 4 sec^{2} (x) = 0

What is the general solution for tan(x)=-1/5 ?
The general solution for tan(x)=-1/5 is x=-0.19739…+pin