What is the general solution for tan(θ)=(6.06)/(-33.5) ?

The general solution for tan(θ)=(6.06)/(-33.5) is θ=-0.17896…+pin

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tan(θ)=(6.06)/(-33.5)

tan (θ) = \frac{6.06}{- 33.5}

θ = - 0.17896 \dots + πn

Degrees

θ = - 10.25366 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{6.06}{- 33.5}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

tan (θ) = - \frac{6.06}{33.5}

Apply trig inverse properties

tan (θ) = - \frac{6.06}{33.5}

General solutions for

tan (θ) = - \frac{6.06}{33.5}

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

θ = arctan (- \frac{6.06}{33.5}) + πn

θ = arctan (- \frac{6.06}{33.5}) + πn

Show solutions in decimal form

θ = - 0.17896 \dots + πn

What is the general solution for tan(θ)=(6.06)/(-33.5) ?
The general solution for tan(θ)=(6.06)/(-33.5) is θ=-0.17896…+pin