What is the general solution for tan(θ)=(-4.86)/(14.56) ?

The general solution for tan(θ)=(-4.86)/(14.56) is θ=-0.32216…+pin

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tan(θ)=(-4.86)/(14.56)

tan (θ) = \frac{- 4.86}{14.56}

θ = - 0.32216 \dots + πn

Degrees

θ = - 18.45855 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{- 4.86}{14.56}

Apply the fraction rule:

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

tan (θ) = - \frac{4.86}{14.56}

Apply trig inverse properties

tan (θ) = - \frac{4.86}{14.56}

General solutions for

tan (θ) = - \frac{4.86}{14.56}

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

θ = arctan (- \frac{4.86}{14.56}) + πn

θ = arctan (- \frac{4.86}{14.56}) + πn

Show solutions in decimal form

θ = - 0.32216 \dots + πn

12 cos (x) + 5 sin (x) = 3

2 cos (x) sin^{2} (x) = cos (x)

2 cos (4 θ) = - 1, 0 \leq θ \leq 2 π

1 \cdot sin (4 5^{\circ}) = 1.57 \cdot sin (θ)

\frac{sin ( x )}{2 - 2 sin ^{2} ( x )} = 0

What is the general solution for tan(θ)=(-4.86)/(14.56) ?
The general solution for tan(θ)=(-4.86)/(14.56) is θ=-0.32216…+pin