What is the general solution for (cos(x))/(sin(x))=-0.00836 ?

The general solution for (cos(x))/(sin(x))=-0.00836 is x=1.57915…+pin

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(cos(x))/(sin(x))=-0.00836

\frac{cos ( x )}{sin ( x )} = - 0.00836

x = 1.57915 \dots + πn

Degrees

x = 90.47898 \dots^{\circ} + 18 0^{\circ} n

Solution steps

\frac{cos ( x )}{sin ( x )} = - 0.00836

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) = - 0.00836

Apply trig inverse properties

cot (x) = - 0.00836

General solutions for

cot (x) = - 0.00836

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

x = arccot (- 0.00836) + πn

x = arccot (- 0.00836) + πn

Show solutions in decimal form

x = 1.57915 \dots + πn

sin^{3} (x) = cos^{3} (x)

2 sin (θ) = 3 cos (θ) - 1, 0 <, θ < 360

cot (2 θ) + csc (2 θ) - 7 = 0

sec (x) sin (x) + cos (x) = sec (x)

0 = 2 + 2 sin (θ)

What is the general solution for (cos(x))/(sin(x))=-0.00836 ?
The general solution for (cos(x))/(sin(x))=-0.00836 is x=1.57915…+pin