1. ## Trigonometric problem

Hello, I coldnt solve this problem

May you help me?

If y=sin(x)*cos(x) then what is the period?

I know Sin(x) and Cos(x) periods 2pi
Tan(x) and Cot(x) are pi but i dont know how i can solve?

Thanks

2. ## Re: Trigonometric problem

Originally Posted by sunrise
Hello, I coldnt solve this problem

May you help me?

If y=sin(x)*cos(x) then what is the period?

I know Sin(x) and Cos(x) periods 2pi
Tan(x) and Cot(x) are pi but i dont know how i can solve?

Thanks
use the double angle identity for sine, note ...

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

3. ## Re: Trigonometric problem

So,
As I learned answer is pi

1\2*sin(2x) is equal to the pi? How i can show?

4. ## Re: Trigonometric problem

Originally Posted by sunrise
So,
As I learned answer is pi

1\2*sin(2x) is equal to the pi?
you should know the period, $T$ , of $y = A\sin(Bx)$ is $T = \frac{2\pi}{B}$

Thank you