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Popular >

3*tan^2(x)=1

Solution

3 \cdot tan^{2} (x) = 1

Solution

x = 0.52359 \dots + πn, x = - 0.52359 \dots + πn

+1

Solution steps

3 tan^{2} (x) = 1

Solve by substitution

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

tan (x) = \frac{1}{3} : x = arctan (\frac{1}{3}) + πn

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

Combine all the solutions

x = arctan (\frac{1}{3}) + πn, x = arctan (- \frac{1}{3}) + πn

Show solutions in decimal form

x = 0.52359 \dots + πn, x = - 0.52359 \dots + πn

Popular Examples

2*sqrt(3)sin(v)+2cos(v)=2sqrt(2)

2 \cdot 3 sin (v) + 2 cos (v) = 22

2csc^3(x)+21csc^2(x)+55csc(x)+42=0

2 csc^{3} (x) + 21 csc^{2} (x) + 55 csc (x) + 42 = 0

cos^2(x/3)-sin^2(x/3)=-1/2

cos^{2} (\frac{x}{3}) - sin^{2} (\frac{x}{3}) = - \frac{1}{2}

sin (x) = 0.014

6cos(2x)+8sin(2x)=0

6 cos (2 x) + 8 sin (2 x) = 0

Frequently Asked Questions (FAQ)

What is the general solution for 3*tan^2(x)=1 ?
The general solution for 3*tan^2(x)=1 is x=0.52359…+pin,x=-0.52359…+pin