What is the general solution for (cos(x))/(sin(x))=-0.05467 ?

The general solution for (cos(x))/(sin(x))=-0.05467 is x=1.62541…+pin

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(cos(x))/(sin(x))=-0.05467

\frac{cos ( x )}{sin ( x )} = - 0.05467

x = 1.62541 \dots + πn

Degrees

x = 93.12924 \dots^{\circ} + 18 0^{\circ} n

Solution steps

\frac{cos ( x )}{sin ( x )} = - 0.05467

Rewrite using trig identities

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

Use the basic trigonometric identity:

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

= cot (x)

cot (x) = - 0.05467

Apply trig inverse properties

cot (x) = - 0.05467

General solutions for

cot (x) = - 0.05467

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

x = arccot (- 0.05467) + πn

x = arccot (- 0.05467) + πn

Show solutions in decimal form

x = 1.62541 \dots + πn

2 sin^{4} (x) + 2 sin^{2} (x) cos^{2} (x) = 1

(1 + 4 cos (θ))^{2} = (3 sin (θ))^{2}

\frac{1}{tan ( x )} = 4

sin^{2} (x) + 2 - 3 sin (x) = cos^{2} (x)

4 sin^{2} (θ) - 4 cos (θ) = 1

What is the general solution for (cos(x))/(sin(x))=-0.05467 ?
The general solution for (cos(x))/(sin(x))=-0.05467 is x=1.62541…+pin