What is the general solution for tan(x)=-4/(sqrt(33)) ?

The general solution for tan(x)=-4/(sqrt(33)) is x=-0.60824…+pin

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tan(x)=-4/(sqrt(33))

tan (x) = - \frac{4}{33}

x = - 0.60824 \dots + πn

Solution steps

tan (x) = - \frac{4}{33}

Simplify

- \frac{4}{33} : - \frac{4 33}{33}

- \frac{4}{33}

Multiply by the conjugate

\frac{33}{33}

= - \frac{4 33}{33 33}

3333 = 33

3333

Apply radical rule:

a a = a

3333 = 33

= 33

= - \frac{4 33}{33}

tan (x) = - \frac{4 33}{33}

Apply trig inverse properties

tan (x) = - \frac{4 33}{33}

General solutions for

tan (x) = - \frac{4 33}{33}

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

x = arctan (- \frac{4 33}{33}) + πn

x = arctan (- \frac{4 33}{33}) + πn

Show solutions in decimal form

x = - 0.60824 \dots + πn

2 cot^{2} (x) - 11 csc (x) = - 14

5 = tan (x)

cot (x) = 0, 0 \leq x \leq 2 π

tan (α) = - \frac{7}{2}

- sin (θ) - cos (2 θ) = 0

What is the general solution for tan(x)=-4/(sqrt(33)) ?
The general solution for tan(x)=-4/(sqrt(33)) is x=-0.60824…+pin