Let t = theta for short

If f(t) = csc (t) and f(a) = 2, find the exact value of:

(A) f(-a)

(B) f(a) + f(a + 2pi) + f(a + 4pi)

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- Aug 22nd 2008, 03:32 AMmagentaritaFind Exact Value
Let t = theta for short

If f(t) = csc (t) and f(a) = 2, find the exact value of:

(A) f(-a)

(B) f(a) + f(a + 2pi) + f(a + 4pi) - Aug 22nd 2008, 03:38 AMMoo
- Aug 22nd 2008, 06:24 AMmagentaritano...
- Aug 22nd 2008, 06:37 AMMoo
- Aug 22nd 2008, 08:08 AMnikhilCheck this out
f(t)=csc(t)

f(a)=csc(a)=2

so f(-a)=csc(-a)=-csc(a)=-2 (as csc(a)=2 )

2) f(a) + f(a + 2pi) + f(a + 4pi)

=csc(a)+csc(a+2pi)+csc(a+4pi)

=csc(a)+csc(a)+csc(a)

(csc(t+2n pi) where n is a integer =csc(t))

=2+2+2=6 hence

f(a) + f(a + 2pi) + f(a + 4pi)=6

hope this helps - Aug 22nd 2008, 01:25 PMmagentaritaThanks