What is the general solution for (2sin(x)-1)/(3*cos(x))=0 ?

The general solution for (2sin(x)-1)/(3*cos(x))=0 is x= pi/6+2pin,x=(5pi)/6+2pin

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(2sin(x)-1)/(3*cos(x))=0

\frac{2 sin ( x ) - 1}{3 \cdot cos ( x )} = 0

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

Solution steps

\frac{2 sin ( x ) - 1}{3 cos ( x )} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

2 sin (x) - 1 = 0

Move

1

to the right side

2 sin (x) = 1

Divide both sides by

2

sin (x) = \frac{1}{2}

General solutions for

sin (x) = \frac{1}{2}

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

tan (θ) = \frac{34400}{254}

2 sin (x) = - 1, - π \leq x \leq π

cot (- \frac{π}{5}) - sec (x) = 1.5

\frac{1}{cos ^{2} ( x )} + (\frac{1}{2 cos ( x )}) = 0

3 sin (x) + cos (x) = 2

What is the general solution for (2sin(x)-1)/(3*cos(x))=0 ?
The general solution for (2sin(x)-1)/(3*cos(x))=0 is x= pi/6+2pin,x=(5pi)/6+2pin