# Find the output signal in a Low Pass Filter for a given cutoff frequency range

I have a scenario where 𝑥(𝑡)=2⋅sin150𝜋t +sin250𝜋t and g(t)=𝑥(𝑡)sin250𝜋 . The signal g(t) is passed as input through an ideal lowpass filter with cutoff frequency(fc)= 300𝜋 and passband gain= 3.

what will be the output signal of the lowpass filter? Please suggest if there is any formula or representation to calculate this?

I know the ideal function of a Low Pass filter is meant to block all high range frequencies and allow low frequencies. Can anyone suggest any formula to evaluate this?

I am new to this concept of filtering .

Kind regards

Sameer

• @Powerbicloud Hi! We can't completely do your homework for you. You can easily find the sine product rule- your assignment here is quite simple actually so work through it based on the hints I provided, I am confident you will figure it out! Look for "Sine Product Formula" which is basically the formula for the product of $\sin(a)\sin(b)$ which is what you need to do here. Dec 14, 2021 at 12:07