What is the general solution for tan(φ)=-1/(sqrt(6)) ?

The general solution for tan(φ)=-1/(sqrt(6)) is φ=-0.38759…+pin

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tan(φ)=-1/(sqrt(6))

tan (φ) = - \frac{1}{6}

φ = - 0.38759 \dots + πn

Solution steps

tan (φ) = - \frac{1}{6}

Simplify

- \frac{1}{6} : - \frac{6}{6}

- \frac{1}{6}

Multiply by the conjugate

\frac{6}{6}

= - \frac{1 \cdot 6}{6 6}

1 \cdot 6 = 6

66 = 6

66

Apply radical rule:

a a = a

66 = 6

= 6

= - \frac{6}{6}

tan (φ) = - \frac{6}{6}

Apply trig inverse properties

tan (φ) = - \frac{6}{6}

General solutions for

tan (φ) = - \frac{6}{6}

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

φ = arctan (- \frac{6}{6}) + πn

φ = arctan (- \frac{6}{6}) + πn

Show solutions in decimal form

φ = - 0.38759 \dots + πn

sin (θ) = \frac{4}{5} cos (θ)

19 = \frac{1}{2} \cdot 7.9 \cdot 6.2 sin (x)

cos (x) = - 0.71

tan (α) = \frac{8}{10}

sin (2 x) + 2 \cdot cos (x) = 0

What is the general solution for tan(φ)=-1/(sqrt(6)) ?
The general solution for tan(φ)=-1/(sqrt(6)) is φ=-0.38759…+pin