Question

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

(2 Points)
a) 0
b) 5
c) 52
d) 10
along with explanation​

Answer 1

correct answer is a

Step-by-step 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