What is the general solution for (1-sin(x))*cos^3(x)=0 ?

The general solution for (1-sin(x))*cos^3(x)=0 is x= pi/2+2pin,x=(3pi)/2+2pin

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(1-sin(x))*cos^3(x)=0

(1 - sin (x)) \cdot cos^{3} (x) = 0

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

Solution steps

(1 - sin (x)) cos^{3} (x) = 0

Solving each part separately

1 - sin (x) = 0 or cos^{3} (x) = 0

1 - sin (x) = 0 : x = \frac{π}{2} + 2 πn

cos^{3} (x) = 0 : x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

Combine all the solutions

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

- tan (x) = 3.465

3 cos^{2} (x) - sin (x) + 1 = 0

cos^{2} (x) + sin^{2} (x) + sin (x) = \frac{1}{2}

2 sin (x) cos^{2} (x) - 1 + 2 cos^{2} (x) - sin (x) = 0

tan^{2} (b) = 3

What is the general solution for (1-sin(x))*cos^3(x)=0 ?
The general solution for (1-sin(x))*cos^3(x)=0 is x= pi/2+2pin,x=(3pi)/2+2pin