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Unformatted text preview: MAC1114  Homework 11
Due Tuesday  March 29
1. Show that cot(u + v ) = cot u cot v − 1
(hint: use the sum identity for tangent)
cot u + cot v 2. Let f (x) = sin x. Verify the following identity used in calculus:
f (x + h) − f (x)
= sin x
h cos h − 1
h − sin x sin h
h 1
2
3. Let sin α = 3 and cos β = 5 . Evaluate each of the six trig functions at α + β , i.e., nd sin(α + β ),
cos(α + β ), etc. (hint: only use sum identities for sin and cos, get the rest of them in an easier way) 1 ...
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This note was uploaded on 06/10/2011 for the course MAC 1114 taught by Professor Gentimis during the Spring '11 term at University of Florida.
 Spring '11
 Gentimis
 Calculus, Algebra

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