What is the general solution for cot(x)=-4/3 ?

The general solution for cot(x)=-4/3 is x=2.49809…+pin

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cot(x)=-4/3

cot (x) = - \frac{4}{3}

x = 2.49809 \dots + πn

Degrees

x = 143.13010 \dots^{\circ} + 18 0^{\circ} n

Solution steps

cot (x) = - \frac{4}{3}

Apply trig inverse properties

cot (x) = - \frac{4}{3}

General solutions for

cot (x) = - \frac{4}{3}

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

x = arccot (- \frac{4}{3}) + πn

x = arccot (- \frac{4}{3}) + πn

Show solutions in decimal form

x = 2.49809 \dots + πn

\frac{cos ^{2} ( x )}{sin ^{2} ( x )} = 1

x, f = \frac{cos ( 2 x )}{cos ( x ) - sin ( x )}

cos (2 x) + 5 = 6.25

sin (x) = 4 sin (8)

800 cos (x) + 800 cos^{2} (x) - 800 sin^{2} (x) = 0

What is the general solution for cot(x)=-4/3 ?
The general solution for cot(x)=-4/3 is x=2.49809…+pin