What is the general solution for 6tan(θ)+5=0 ?

The general solution for 6tan(θ)+5=0 is θ=-0.69473…+pin

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6tan(θ)+5=0

6 tan (θ) + 5 = 0

θ = - 0.69473 \dots + πn

Degrees

θ = - 39.80557 \dots^{\circ} + 18 0^{\circ} n

Solution steps

6 tan (θ) + 5 = 0

Move

5

to the right side

6 tan (θ) + 5 = 0

Subtract

5

from both sides

6 tan (θ) + 5 - 5 = 0 - 5

Simplify

6 tan (θ) = - 5

6 tan (θ) = - 5

Divide both sides by

6

6 tan (θ) = - 5

Divide both sides by

6

\frac{6 tan ( θ )}{6} = \frac{- 5}{6}

Simplify

tan (θ) = - \frac{5}{6}

tan (θ) = - \frac{5}{6}

Apply trig inverse properties

tan (θ) = - \frac{5}{6}

General solutions for

tan (θ) = - \frac{5}{6}

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

θ = arctan (- \frac{5}{6}) + πn

θ = arctan (- \frac{5}{6}) + πn

Show solutions in decimal form

θ = - 0.69473 \dots + πn

x, y = arcsin (x)

tan (a) = \frac{5}{12}

2 sin (x) - 3 = - csc (x)

cos^{2} (x) + 1 = 4

1 = sin^{2} (x)

What is the general solution for 6tan(θ)+5=0 ?
The general solution for 6tan(θ)+5=0 is θ=-0.69473…+pin