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Popular >

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

Solution

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

Solution

x = \frac{π}{2} + πn

+1

Solution steps

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

Factor

cot (x) - cot (x) csc (x) : - cot (x) (csc (x) - 1)

- cot (x) (csc (x) - 1) = 0

Solving each part separately

cot (x) = 0 or csc (x) - 1 = 0

cot (x) = 0 : x = \frac{π}{2} + πn

csc (x) - 1 = 0 : x = \frac{π}{2} + 2 πn

Combine all the solutions

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

Merge Overlapping Intervals

x = \frac{π}{2} + πn

Popular Examples

3sin^2(x)-3sin(x)+cos^2(x)=0

3 sin^{2} (x) - 3 sin (x) + cos^{2} (x) = 0

12cos^2(x)-7cos(x)+1=0

12 cos^{2} (x) - 7 cos (x) + 1 = 0

tan(x/2)tan(x)=-3

tan (\frac{x}{2}) tan (x) = - 3

sin(-x)=-1/3 ,tan(x)=-(sqrt(2))/4

sin (- x) = - \frac{1}{3}, tan (x) = - \frac{2}{4}

solvefor x,h=tan(x-pi/6)solve for

x, h = tan (x - \frac{π}{6})

Frequently Asked Questions (FAQ)

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