What is the general solution for 6tan(B)+sqrt(14)=0 ?

The general solution for 6tan(B)+sqrt(14)=0 is B=-0.55759…+pin

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6tan(B)+sqrt(14)=0

6 tan (B) + 14 = 0

B = - 0.55759 \dots + πn

Degrees

B = - 31.94805 \dots^{\circ} + 18 0^{\circ} n

Solution steps

6 tan (B) + 14 = 0

Move

14

to the right side

6 tan (B) + 14 = 0

Subtract

14

from both sides

6 tan (B) + 14 - 14 = 0 - 14

Simplify

6 tan (B) = - 14

6 tan (B) = - 14

Divide both sides by

6

6 tan (B) = - 14

Divide both sides by

6

\frac{6 tan ( B )}{6} = \frac{- 14}{6}

Simplify

tan (B) = - \frac{14}{6}

tan (B) = - \frac{14}{6}

Apply trig inverse properties

tan (B) = - \frac{14}{6}

General solutions for

tan (B) = - \frac{14}{6}

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

B = arctan (- \frac{14}{6}) + πn

B = arctan (- \frac{14}{6}) + πn

Show solutions in decimal form

B = - 0.55759 \dots + πn

- 4 tan^{2} (θ) - 4 tan (θ) - 9 = 8 tan (θ) - 4

cot (4 x) = - \frac{3}{3}

sin (x) = \frac{3.9}{8.1}

5 sin (x) = - 2 cos^{2} (x) + 4

1 + cos (θ) = 1 - cos (θ)

What is the general solution for 6tan(B)+sqrt(14)=0 ?
The general solution for 6tan(B)+sqrt(14)=0 is B=-0.55759…+pin