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

The general solution for tan(x)csc(x)-tan(x)=0 is No Solution for x\in\mathbb{R}

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tan(x)csc(x)-tan(x)=0

tan (x) csc (x) - tan (x) = 0

No Solution for x \in R

Solution steps

tan (x) csc (x) - tan (x) = 0

Factor

tan (x) csc (x) - tan (x) : tan (x) (csc (x) - 1)

tan (x) (csc (x) - 1) = 0

Solving each part separately

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

tan (x) = 0 : x = πn

csc (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:

πn, \frac{π}{2} + 2 πn

No Solution for x \in R

cos (6 0^{\circ} - x) = sin (70 - 3 x)

sin (- x) = sin (x)

sin (x) = a

sin (6 x) - sin (2 x) = 0

z, cos (x) + cos (y) + cos (z) = 0

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