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Popular >

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

Solution

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

Solution

x = \frac{π}{4}, x = \frac{5 π}{4}, x = 0, x = π, x = 2 π

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Solution steps

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

Solve by substitution

tan (x) = 1, tan (x) = 0

tan (x) = 1, 0 \leq x \leq 2 π : x = \frac{π}{4}, x = \frac{5 π}{4}

tan (x) = 0, 0 \leq x \leq 2 π : x = 0, x = π, x = 2 π

Combine all the solutions

x = \frac{π}{4}, x = \frac{5 π}{4}, x = 0, x = π, x = 2 π

Popular Examples

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((1))/((cot(θ)))=(-(7))/((25))

\frac{( 1 )}{( cot ( θ ) )} = \frac{- ( 7 )}{( 25 )}

tan(θ)=(-1)/(-2)

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sin(θ)=-1/3 ,(3pi)/2 <θ<2pi

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4cos(x)=sqrt(5)-1

4 cos (x) = 5 - 1

Frequently Asked Questions (FAQ)

What is the general solution for tan^2(x)-tan(x)=0,0<= x<= 2pi ?
The general solution for tan^2(x)-tan(x)=0,0<= x<= 2pi is x= pi/4 ,x=(5pi)/4 ,x=0,x=pi,x=2pi