What is the general solution for cot(x)=-1,0<= x<= 2pi ?

The general solution for cot(x)=-1,0<= x<= 2pi is x=(3pi)/4 ,x=(7pi)/4

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cot(x)=-1,0<= x<= 2pi

cot (x) = - 1, 0 \leq x \leq 2 π

x = \frac{3 π}{4}, x = \frac{7 π}{4}

Degrees

x = 13 5^{\circ}, x = 31 5^{\circ}

Solution steps

cot (x) = - 1, 0 \leq x \leq 2 π

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{3 π}{4} + πn

x = \frac{3 π}{4} + πn

Solutions for the range

0 \leq x \leq 2 π

x = \frac{3 π}{4}, x = \frac{7 π}{4}

(2 cos (x) - 2) (2 sin (x) + 2) = 0

4 sec^{2} (x) - 3 = 0

cos^{2} (x) = \frac{1}{4}, 0 \leq x \leq 2 π

sin (θ) = - \frac{4}{9}

- sin (y) = 0

What is the general solution for cot(x)=-1,0<= x<= 2pi ?
The general solution for cot(x)=-1,0<= x<= 2pi is x=(3pi)/4 ,x=(7pi)/4