What is the general solution for 2/(sin(x))+10=6 ?

The general solution for 2/(sin(x))+10=6 is x=(7pi)/6+2pin,x=(11pi)/6+2pin

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2/(sin(x))+10=6

\frac{2}{sin ( x )} + 10 = 6

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

Solution steps

\frac{2}{sin ( x )} + 10 = 6

Move

10

to the right side

\frac{2}{sin ( x )} = - 4

Multiply both sides by

sin (x)

2 = - 4 sin (x)

Switch sides

- 4 sin (x) = 2

Divide both sides by

- 4

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

Verify Solutions

Find undefined (singularity) points:

sin (x) = 0

Combine undefined points with solutions:

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

General solutions for

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

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

sin (θ) - 0.2 cos (θ) = 0.6377

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

cos (θ) = - 0.8722

3 cos (x) + 2 sin (x) cos (x) = 0

(tan (x) - 1) (2 cos (x) + 1) = 0

What is the general solution for 2/(sin(x))+10=6 ?
The general solution for 2/(sin(x))+10=6 is x=(7pi)/6+2pin,x=(11pi)/6+2pin