Question

if x+y=90^°find sin^2 x+sin^2 y÷sin^2 (x+y) is​

Answer 1

Answer:

think your question is, “Is sin2x+sin2y=sin(x+y) ”?

Let, x=30⁰,y=0⁰

L.H.S,

sin2x+sin2y=sin230⁰+sin20⁰

=(1/2)2+(0)2

=1/4

R.H.S,

sin(x+y)=sin(30⁰+0⁰)

= sin30⁰

=1/2

So, they are not equal.

There is a formula of sin(x+y)

sin(x+y)=(sinx)(cosy)+(cosx)(siny)