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Popular >

(tan(x)(-tan^2(x)+3))/(1-tan^2(x))=0

Solution

\frac{tan ( x ) ( - tan ^{2} ( x ) + 3 )}{1 - tan ^{2} ( x )} = 0

Solution

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

+1

Solution steps

\frac{tan ( x ) ( - tan ^{2} ( x ) + 3 )}{1 - tan ^{2} ( x )} = 0

Solve by substitution

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

tan (x) = 0 : x = πn

tan (x) = - 3 : x = \frac{2 π}{3} + πn

tan (x) = 3 : x = \frac{π}{3} + πn

Combine all the solutions

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

Popular Examples

2sin(x)-cos(x)=0.6

2 sin (x) - cos (x) = 0.6

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2 sin (x) - cos (x) = 0.5

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cos (x) - tan (x) = 0

2sin(x)-cos(x)=0.2

2 sin (x) - cos (x) = 0.2

tan^2(x)-tan(x)=0,0<= x<= 2pi

tan^{2} (x) - tan (x) = 0, 0 \leq x \leq 2 π

Frequently Asked Questions (FAQ)

What is the general solution for (tan(x)(-tan^2(x)+3))/(1-tan^2(x))=0 ?
The general solution for (tan(x)(-tan^2(x)+3))/(1-tan^2(x))=0 is x=pin,x=(2pi)/3+pin,x= pi/3+pin