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Popular >

3tan(x)sin(x)-sqrt(3)sin(x)=0

Solution

3 tan (x) sin (x) - 3 sin (x) = 0

Solution

x = 2 πn, x = π + 2 πn, x = \frac{π}{6} + πn

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Solution steps

3 tan (x) sin (x) - 3 sin (x) = 0

Factor

3 tan (x) sin (x) - 3 sin (x) : sin (x) (3 tan (x) - 3)

sin (x) (3 tan (x) - 3) = 0

Solving each part separately

sin (x) = 0 or 3 tan (x) - 3 = 0

sin (x) = 0 : x = 2 πn, x = π + 2 πn

3 tan (x) - 3 = 0 : x = \frac{π}{6} + πn

Combine all the solutions

x = 2 πn, x = π + 2 πn, x = \frac{π}{6} + πn

Popular Examples

cot^4(x)-3cot^2(x)+1=0

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

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4 sin (2 x + \frac{π}{6}) = 2

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Frequently Asked Questions (FAQ)

What is the general solution for 3tan(x)sin(x)-sqrt(3)sin(x)=0 ?
The general solution for 3tan(x)sin(x)-sqrt(3)sin(x)=0 is x=2pin,x=pi+2pin,x= pi/6+pin