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Popular >

3tan^2(x)=1,-pi<= x<= pi

Solution

3 tan^{2} (x) = 1, - π \leq x \leq π

Solution

x = \frac{π}{6}, x = - \frac{5 π}{6}, x = - \frac{π}{6}, x = \frac{5 π}{6}

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Solution steps

3 tan^{2} (x) = 1, - π \leq x \leq π

Solve by substitution

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

tan (x) = \frac{1}{3}, - π \leq x \leq π : x = \frac{π}{6}, x = - \frac{5 π}{6}

tan (x) = - \frac{1}{3}, - π \leq x \leq π : x = - \frac{π}{6}, x = \frac{5 π}{6}

Combine all the solutions

x = \frac{π}{6}, x = - \frac{5 π}{6}, x = - \frac{π}{6}, x = \frac{5 π}{6}

Popular Examples

cos(2t)-cos(t)=0.5

cos (2 t) - cos (t) = 0.5

0=-6csc(x)cot(x)

0 = - 6 csc (x) cot (x)

0.08=0.12cos^2(3.922t)

0.08 = 0.12 cos^{2} (3.922 t)

(15)/(sin(32))=(12)/(sin(b))

\frac{15}{sin ( 3 2 ^{\circ} )} = \frac{12}{sin ( b )}

(sin(x))/(25)=(sin(125))/(165.6)

\frac{sin ( x )}{25} = \frac{sin ( 12 5 ^{\circ} )}{165.6}

Frequently Asked Questions (FAQ)

What is the general solution for 3tan^2(x)=1,-pi<= x<= pi ?
The general solution for 3tan^2(x)=1,-pi<= x<= pi is x= pi/6 ,x=-(5pi)/6 ,x=-pi/6 ,x=(5pi)/6