Tanxsin2x=0

Answer 1

To solve the equation tan(x) sin(2x) = 0, we need to find the values of x that make the expression equal to zero.

Since tan(x) is equal to zero when x = nπ, where n is an integer, we can start by solving the equation tan(x) = 0.

tan(x) = 0 when x = nπ, where n is an integer.

Now, let's solve the equation sin(2x) = 0.

sin(2x) = 0 when 2x = nπ, where n is an integer.

Dividing both sides by 2, we have x = nπ/2.

So, the solutions to tan(x) sin(2x) = 0 are x = nπ/2 and x = nπ, where n is an integer.