What is the general solution for solvefor θ,(cos(θ))/(sin(θ))=-pi/6 ?

The general solution for solvefor θ,(cos(θ))/(sin(θ))=-pi/6 is θ=2.05314…+pin

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solvefor θ,(cos(θ))/(sin(θ))=-pi/6

solve for

θ, \frac{cos ( θ )}{sin ( θ )} = - \frac{π}{6}

θ = 2.05314 \dots + πn

Degrees

θ = 117.63649 \dots^{\circ} + 18 0^{\circ} n

Solution steps

\frac{cos ( θ )}{sin ( θ )} = - \frac{π}{6}

Rewrite using trig identities

\frac{cos ( θ )}{sin ( θ )}

Use the basic trigonometric identity:

\frac{cos ( x )}{sin ( x )} = cot (x)

= cot (θ)

cot (θ) = - \frac{π}{6}

Apply trig inverse properties

cot (θ) = - \frac{π}{6}

General solutions for

cot (θ) = - \frac{π}{6}

cot (x) = - a \Rightarrow x = arccot (- a) + πn

θ = arccot (- \frac{π}{6}) + πn

θ = arccot (- \frac{π}{6}) + πn

Show solutions in decimal form

θ = 2.05314 \dots + πn

tan (θ) = \frac{10}{- 5.32}

2 sin (2 x) + cos (2 x) = 4 cos (2 x)

sec (t) = \frac{1}{\frac{2}{2}}

- \frac{cos ( x ) - sin ( x )}{1 + sin ( 2 x )} = 0

2 cos (x) = cot (x)

What is the general solution for solvefor θ,(cos(θ))/(sin(θ))=-pi/6 ?
The general solution for solvefor θ,(cos(θ))/(sin(θ))=-pi/6 is θ=2.05314…+pin