What is the general solution for -csc^2(x)+2csc(x)cot(x)=0 ?

The general solution for -csc^2(x)+2csc(x)cot(x)=0 is x= pi/3+2pin,x=(5pi)/3+2pin

Popular >

-csc^2(x)+2csc(x)cot(x)=0

- csc^{2} (x) + 2 csc (x) cot (x) = 0

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Solution steps

- csc^{2} (x) + 2 csc (x) cot (x) = 0

Factor

- csc^{2} (x) + 2 csc (x) cot (x) : csc (x) (- csc (x) + 2 cot (x))

csc (x) (- csc (x) + 2 cot (x)) = 0

Solving each part separately

csc (x) = 0 or - csc (x) + 2 cot (x) = 0

csc (x) = 0 :

No Solution

- csc (x) + 2 cot (x) = 0 : x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Combine all the solutions

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

6 sin (A) + 3 = 4 sin (A) + 4

a, - 10 = sin (a) + 15.2 cos (a)

0 = - 6 sin^{2} (θ) + 3 sin (θ) + 2

sin (2 x + \frac{3}{π}) = \frac{1}{2}

3 cot (\frac{x}{3}) + 1 = 0

What is the general solution for -csc^2(x)+2csc(x)cot(x)=0 ?
The general solution for -csc^2(x)+2csc(x)cot(x)=0 is x= pi/3+2pin,x=(5pi)/3+2pin