What is the general solution for tan(x)(sin(x)-1)=0 ?

The general solution for tan(x)(sin(x)-1)=0 is x=pin

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

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

x = πn

Solution steps

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

Solving each part separately

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

tan (x) = 0 : x = πn

sin (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:

\frac{π}{2} + 2 πn

x = πn

3 sin (x) + 1 = 0

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

tan (2 θ) = 2.93

cot (θ + 1) csc (θ - 1) = 0

sin (a) = 0.9455

What is the general solution for tan(x)(sin(x)-1)=0 ?
The general solution for tan(x)(sin(x)-1)=0 is x=pin