What is the general solution for tan(x)= 5/(-4) ?

The general solution for tan(x)= 5/(-4) is x=-0.89605…+pin

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tan(x)= 5/(-4)

tan (x) = \frac{5}{- 4}

x = - 0.89605 \dots + πn

Solution steps

tan (x) = \frac{5}{- 4}

Apply the fraction rule:

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

tan (x) = - \frac{5}{4}

Apply trig inverse properties

x = arctan (- \frac{5}{4}) + πn

Show solutions in decimal form

x = - 0.89605 \dots + πn

cot (α) = 4.9

0 = 8 tan (θ)

1 = 4 sin^{2} (θ)

θ, 1 = sin (θ)

tan (2 x) = 2

What is the general solution for tan(x)= 5/(-4) ?
The general solution for tan(x)= 5/(-4) is x=-0.89605…+pin