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

The general solution for (1-cos(x))(2-sin(x))=0 is x=2pin

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(1-cos(x))(2-sin(x))=0

(1 - cos (x)) (2 - sin (x)) = 0

x = 2 πn

Solution steps

(1 - cos (x)) (2 - sin (x)) = 0

Solving each part separately

1 - cos (x) = 0 or 2 - sin (x) = 0

1 - cos (x) = 0 : x = 2 πn

2 - sin (x) = 0 :

No Solution

Combine all the solutions

x = 2 πn

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

cos^{2} (x) = \frac{( 8 k - 9 )}{2}

4 cos^{2} (x) + 2 cos (x) = 2

5 sin (2 x) = 9 tan (x)

3 cot (x - 2) + 3 = 0

What is the general solution for (1-cos(x))(2-sin(x))=0 ?
The general solution for (1-cos(x))(2-sin(x))=0 is x=2pin