What is the general solution for 5tan^2(x)-tan(x)=0 ?

The general solution for 5tan^2(x)-tan(x)=0 is x=0.19739…+pin,x=pin

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5tan^2(x)-tan(x)=0

5 tan^{2} (x) - tan (x) = 0

x = 0.19739 \dots + πn, x = πn

Solution steps

5 tan^{2} (x) - tan (x) = 0

Solve by substitution

tan (x) = \frac{1}{5}, tan (x) = 0

tan (x) = \frac{1}{5} : x = arctan (\frac{1}{5}) + πn

tan (x) = 0 : x = πn

Combine all the solutions

x = arctan (\frac{1}{5}) + πn, x = πn

Show solutions in decimal form

x = 0.19739 \dots + πn, x = πn

3 tan (2 x) - 3 = 0

csc^{2} (x) = 3 cot (x) + 5

7^{2} + 2 5^{2} - 2 (7) (25) cos (x) = 2 4^{2}

tan (x) = 0.015

x, - sin (2 x) = 0

What is the general solution for 5tan^2(x)-tan(x)=0 ?
The general solution for 5tan^2(x)-tan(x)=0 is x=0.19739…+pin,x=pin