What is the general solution for 3csc(θ)-1=0 ?

The general solution for 3csc(θ)-1=0 is No Solution for θ\in\mathbb{R}

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3csc(θ)-1=0

3 csc (θ) - 1 = 0

No Solution for θ \in R

Solution steps

3 csc (θ) - 1 = 0

Move

1

to the right side

3 csc (θ) - 1 = 0

Add

1

to both sides

3 csc (θ) - 1 + 1 = 0 + 1

Simplify

3 csc (θ) = 1

3 csc (θ) = 1

Divide both sides by

3

3 csc (θ) = 1

Divide both sides by

3

\frac{3 csc ( θ )}{3} = \frac{1}{3}

Simplify

csc (θ) = \frac{1}{3}

csc (θ) = \frac{1}{3}

csc (x) \leq - 1 or csc (x) \geq 1

No Solution for θ \in R

5 sin (x) tan (x) - 10 tan (x) + 3 sin (x) - 6 = 0

tan^{2} (x) + 2 tan (x) = 0

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

\frac{cos ^{3} ( x )}{sin ( x )} = cot (x)

tan (2 x) = \frac{3}{4}

What is the general solution for 3csc(θ)-1=0 ?
The general solution for 3csc(θ)-1=0 is No Solution for θ\in\mathbb{R}