Question

Amplitude of superposition of two waves y1 = 5sinwt and y2 = 5coswt is

Answer 1

Answer:

correct answer is a

Explanation:

For this exercise we must add the two oscillations

          y_total = y₁ + y₂

          y_total = 5 sin wt + 5 cos wt

          y _total = 5 (sin t wt + cos wt)

the sine and cosine functions are related

          cos (a +90) = cos a cos 90 - sin 90 sin a = - sin a

let's call  

        a= wt

let's substitute

           y_total = 5 (-cos (wt +90) + cos wt)

the cosine function has the same value for +θ and -θ

           cos θ = cos (-θ)

Thus

           y_total = 0

correct answer is a