What is the general solution for tan(t)=-12/5 ?

The general solution for tan(t)=-12/5 is t=-1.17600…+pin

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tan(t)=-12/5

tan (t) = - \frac{12}{5}

t = - 1.17600 \dots + πn

Degrees

t = - 67.38013 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (t) = - \frac{12}{5}

Apply trig inverse properties

tan (t) = - \frac{12}{5}

General solutions for

tan (t) = - \frac{12}{5}

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

t = arctan (- \frac{12}{5}) + πn

t = arctan (- \frac{12}{5}) + πn

Show solutions in decimal form

t = - 1.17600 \dots + πn

2 cos (x) - 2 sin (x) cos (x) = 0

3 cot (θ) + 1 = 0, 0 \leq θ \leq 2 π

cos (x) = - \frac{4}{9}

7 sin (c) + 19 = 0

cos^{3} (x) = \frac{1}{2}

What is the general solution for tan(t)=-12/5 ?
The general solution for tan(t)=-12/5 is t=-1.17600…+pin