What is the general solution for tan(θ)=(-4)/(-1) ?

The general solution for tan(θ)=(-4)/(-1) is θ=1.32581…+pin

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tan(θ)=(-4)/(-1)

tan (θ) = \frac{- 4}{- 1}

θ = 1.32581 \dots + πn

Solution steps

tan (θ) = \frac{- 4}{- 1}

Simplify

\frac{- 4}{- 1} : 4

\frac{- 4}{- 1}

Apply the fraction rule:

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

= \frac{4}{1}

Apply rule

\frac{a}{1} = a

= 4

Apply trig inverse properties

tan (θ) = 4

General solutions for

tan (θ) = 4

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

θ = arctan (4) + πn

θ = arctan (4) + πn

Show solutions in decimal form

θ = 1.32581 \dots + πn

cos (2 x) - 7 cos (x) + 6 = 0

csc^{2} (x) = 2 + csc (x)

tan (θ) = \frac{5.4}{1.1}

6 cos (2 θ) + 3 = 0

(sin (θ) + cos^{2} (θ))^{2} = 2 sin (θ)

What is the general solution for tan(θ)=(-4)/(-1) ?
The general solution for tan(θ)=(-4)/(-1) is θ=1.32581…+pin