Question

222
MODULE II CHAPTER 15
-xi
wheth
and sin x
prove that, for
is wr
D?
Exercises
exi – e-xi
exité
Assuming that cos x =
2i
2
all values of x and y, real or complex, the following identities hold:
1. cos? x + sin?x=1
2. cos(-x) = cos x
4. cos2x = cos? x - sin' x=1-2 sin?
3. sin(-x)=-sin x
5. sin 3x = 3sin x - 4 sin’ x 6. cos x - cos y = 2 sin
2
is
X
x + y
sin Y-3
2
is
x + y sin
х— у
7. sin x - sin y = 2 cos
2
2
In Exercises 8-10, prove the identity.
8. {sin(a +O)-eai sin }" = sin" a e-no
9. sin(a+no)- eai sin n0 = e-noi sin a
10. (sin(a – 0)+etai sin 8}" = sin"-l a{ sin(a – no) +etai sin no).
Hynerholic Functions​

Answer 1

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