What is the general solution for 7tan(θ)+4=0 ?

The general solution for 7tan(θ)+4=0 is θ=-0.51914…+pin

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7tan(θ)+4=0

7 tan (θ) + 4 = 0

θ = - 0.51914 \dots + πn

Degrees

θ = - 29.74488 \dots^{\circ} + 18 0^{\circ} n

Solution steps

7 tan (θ) + 4 = 0

Move

4

to the right side

7 tan (θ) + 4 = 0

Subtract

4

from both sides

7 tan (θ) + 4 - 4 = 0 - 4

Simplify

7 tan (θ) = - 4

7 tan (θ) = - 4

Divide both sides by

7

7 tan (θ) = - 4

Divide both sides by

7

\frac{7 tan ( θ )}{7} = \frac{- 4}{7}

Simplify

tan (θ) = - \frac{4}{7}

tan (θ) = - \frac{4}{7}

Apply trig inverse properties

tan (θ) = - \frac{4}{7}

General solutions for

tan (θ) = - \frac{4}{7}

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

θ = arctan (- \frac{4}{7}) + πn

θ = arctan (- \frac{4}{7}) + πn

Show solutions in decimal form

θ = - 0.51914 \dots + πn

tan (x - 6 0^{\circ}) = - 1.26, 0^{\circ} \leq x \leq 36 0^{\circ}

0 = 1.5961 \cdot cos (x) + 0.0422 \cdot cos (2 \cdot x)

6 cos (7 θ) = 0

csc^{2} (θ) = 3 cot (θ) + 5

sin^{2} (x) - 2 sin (x) = 0, 0 \leq x < 2 π

What is the general solution for 7tan(θ)+4=0 ?
The general solution for 7tan(θ)+4=0 is θ=-0.51914…+pin