What is the general solution for 3tan(x)sin(x)-3tan(x)=0 ?

The general solution for 3tan(x)sin(x)-3tan(x)=0 is x=pin

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3tan(x)sin(x)-3tan(x)=0

3 tan (x) sin (x) - 3 tan (x) = 0

x = πn

Solution steps

3 tan (x) sin (x) - 3 tan (x) = 0

Factor

3 tan (x) sin (x) - 3 tan (x) : 3 tan (x) (sin (x) - 1)

3 tan (x) (sin (x) - 1) = 0

Solving each part separately

tan (x) = 0 or sin (x) - 1 = 0

tan (x) = 0 : x = πn

sin (x) - 1 = 0 : x = \frac{π}{2} + 2 πn

Combine all the solutions

x = πn, x = \frac{π}{2} + 2 πn

Since the equation is undefined for:

\frac{π}{2} + 2 πn

x = πn

4 cos^{2} (x) + 43 cos (x) + 3 = 0

4 cos^{2} (β) - 4 cos (β) = 3

x, cot (x) = 1

sin^{4} (x) + cos^{4} (x) = \frac{5}{8}

0 = \frac{1}{9} sin (9 t)

What is the general solution for 3tan(x)sin(x)-3tan(x)=0 ?
The general solution for 3tan(x)sin(x)-3tan(x)=0 is x=pin