1-2 sin 2A
6. If sin x + sin y =
x+y y
,COS X +COS Y =
3
y
prove that tan
2.
7. If cos x + cos y
x+y
i) tan
-
and cos x -- cos y = 2 then show that 14 tan
2
5
8. Ifsin x +sin y=u and cos x +cos y = b then show that
J4-a² – 6²
ii) sin
2 b
2.
2
sin (a +B)
9. If
then prove that a tan B = b tan a.
sin (a-B a-b
10. i) If msin B=nsin (2A + B) then prove that (m + n) tan A = (m-
sin (a + B 1-m
ii) If
prove that tan
-=mcot
cos(a. -B) 1+m
TC
TI
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