Question

I type

Answer 1

Find exact value if\[o<x<\frac{\pi}{2}and ,0<y<\frac{\pi}{2}\]\[\sin(x-y) .if . \sin .x = \frac{4}{9} and. \sin . y= \frac{1}{4}\]

Answer 2

sin(a+b) = sin(a)cos(b) + cos(a)sin(b)
Can you apply that rule to sin(x-y)?

Answer 3

sinxcosy-cosxsiny ?

Answer 4

Absolutely. Also remember that\[\cos ^{2}x + \sin ^{2}x = 1\]

Answer 5

yes

Answer 6

You can use that to get cos(x) and cos(y).

Answer 7

ty I got it

Answer 8

I got \[(4\sqrt{15} - \sqrt{65}) / 36\]which seems like a bit of a mess, but I think it's right.