Math, asked by viveknk3851, 1 year ago

If y=a sinx +b cosx, prove that y^2+dy/dx^2=a^2+b^2

Answers

Answered by rishu6845
2

Answer:

plzzz give me brainliest ans and plzzzz follow me please

Attachments:
Answered by NatkhatParii
4

Answer:

Step-by-step explanation:

y =a sin x + b cos x , let A =[a^2 +b^2]^(1/2)

then sin e= a/A , cos e = b/A

y = A[a/A sin x + b/A cos x]

y =A[ sin e . sin x + cos e . cos x]

y = A [ cos( x-e)]

y is a maximum when cos [x-e] is max . ,that is cos[x-e]=1

[x-e ] = arc cos [1] = 2n pi ,then

max y = A = [a^2 +b^2]^(1/2)

Similar questions