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Popular >

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

Solution

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

Solution

x = \frac{3 π}{4} + πn, x = \frac{2 π}{3} + πn, x = \frac{π}{3} + πn

+1

Solution steps

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

Solve by substitution

tan (x) = - 1, tan (x) = - 3, tan (x) = 3

tan (x) = - 1 : x = \frac{3 π}{4} + πn

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

tan (x) = 3 : x = \frac{π}{3} + πn

Combine all the solutions

x = \frac{3 π}{4} + πn, x = \frac{2 π}{3} + πn, x = \frac{π}{3} + πn

Popular Examples

tan^2(x)+5=3sec^2(x)

tan^{2} (x) + 5 = 3 sec^{2} (x)

tan (x) = \frac{7}{2}

6cos^2(2x)+10cos(4x)=12.05718

6 cos^{2} (2 x) + 10 cos (4 x) = 12.05718

cos(θ/2)=sqrt((1+3/5)/2)

cos (\frac{θ}{2}) = \frac{1 + \frac{3}{5}}{2}

cos (θ) = \frac{35}{37}

Frequently Asked Questions (FAQ)

What is the general solution for tan^3(x)+tan^2(x)-3tan(x)-3=0 ?
The general solution for tan^3(x)+tan^2(x)-3tan(x)-3=0 is x=(3pi)/4+pin,x=(2pi)/3+pin,x= pi/3+pin