Recent content by Apricity

Thanks for your reply HallsofIvy..That was my conclusion too... I thought the only way a sinusoidal wave can be zero is if it's amplitude is zero, but somehow I was complicating myself unnecessarily... It just seemed too simple ... Thanks again

Hi everyone, Thank you in advance for taking the time to read my question and for your help. I really appreciate it. The question is set out as follows: Given the set 𝑆 = {𝑎 sin (𝑥+𝑏) | 𝑎, 𝑏 E R}. The addition of elements 𝒔1, 𝒔2 ∈ 𝑆 is defined as follows: 𝒔1 +𝒔2 =𝑎1 sin (𝑥+𝑏1)+𝑎2 sin...