What is the general solution for 2sin(x)tan(x)+tan(x)=0 ?

The general solution for 2sin(x)tan(x)+tan(x)=0 is x=pin,x=(7pi)/6+2pin,x=(11pi)/6+2pin

Popular >

2sin(x)tan(x)+tan(x)=0

2 sin (x) tan (x) + tan (x) = 0

x = πn, x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

Solution steps

2 sin (x) tan (x) + tan (x) = 0

Factor

2 sin (x) tan (x) + tan (x) : tan (x) (2 sin (x) + 1)

tan (x) (2 sin (x) + 1) = 0

Solving each part separately

tan (x) = 0 or 2 sin (x) + 1 = 0

tan (x) = 0 : x = πn

2 sin (x) + 1 = 0 : x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

Combine all the solutions

x = πn, x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

0.5 cos (x) = 0

\frac{sin ( x )}{5} = \frac{sin ( 12 5 ^{\circ} )}{20}

tan (\frac{8 x + 1 ^{\circ}}{5}) \cdot cot (\frac{x + 7 ^{\circ}}{2}) = 1

sin (4 t) cos (t) = sin (t) cos (4 t)

3 tan (3 x + \frac{π}{2}) + 1 = 0

What is the general solution for 2sin(x)tan(x)+tan(x)=0 ?
The general solution for 2sin(x)tan(x)+tan(x)=0 is x=pin,x=(7pi)/6+2pin,x=(11pi)/6+2pin