What is the general solution for 4cot(x)+5=9 ?

The general solution for 4cot(x)+5=9 is x= pi/4+pin

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4cot(x)+5=9

4 cot (x) + 5 = 9

x = \frac{π}{4} + πn

Degrees

x = 4 5^{\circ} + 18 0^{\circ} n

Solution steps

4 cot (x) + 5 = 9

Move

5

to the right side

4 cot (x) + 5 = 9

Subtract

5

from both sides

4 cot (x) + 5 - 5 = 9 - 5

Simplify

4 cot (x) = 4

4 cot (x) = 4

Divide both sides by

4

4 cot (x) = 4

Divide both sides by

4

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

Simplify

cot (x) = 1

cot (x) = 1

General solutions for

cot (x) = 1

cot (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cot (x) \mp \infty 31 \frac{3}{3} 0 - \frac{3}{3} - 1 - 3

x = \frac{π}{4} + πn

x = \frac{π}{4} + πn

2 = \frac{1}{2} [1 + arctan (\frac{1}{1 + C})]

x, tan (x) = \frac{1}{2}

t, x = sin^{2} (t)

2 sin^{2} (θ) - 3 sin (θ) - 2 = 0, 0 \leq θ < 2 π

sin (θ) + cos (θ) = - 2

What is the general solution for 4cot(x)+5=9 ?
The general solution for 4cot(x)+5=9 is x= pi/4+pin