Question

If x= 3 sin theta + 4 cos theta and y = 3 cos theta - 4 sin theta then prove that x^2+y^2=25​

Answer 1

Step-by-step explanation:

let theta be 'a'

x=3sin(a)+4cos(a)

y=3cos(a)-4sin(a)

x^2+y^2= {3sin(a)+ 4cos(a)}^2+ {3cos(a)-4sin(a)}^2

=>>9sin^2(a) +16cos^2(a) +24sin(a)cos(a)+ 9cos^2(a) + 16sin^2(a)-24sin(a)cos(a)

=>>>9{sin^2(a)+ cos^2(a)}+ 16{sin^2(a) +cos^2(a)}

=>>>9+16. { sin^2(a)+cos^2(a) =1}

=>>>>25

Answer 2

Answer:

hope it is helpful

Step-by-step explanation:

this is clear explanation

have a grt day ☺