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

csc (θ) = \frac{13}{2}, sec (θ) = \frac{13}{3}

4 cos^{2} (x) + cos (2 x) - 7 cos (x) = - 2, 0^{\circ} \leq x \leq 36 0^{\circ}

\frac{16}{sin ( a )} = \frac{12}{sin ( 3 1 ^{\circ} )}

tan (x) = \frac{25}{10}

sin (x) - 1 = 0, 0 \leq x < 2 π

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