a. Use the identity sin (a + h) = sin a cos h + cos a sin
Question:
a. Use the identity sin (a + h) = sin a cos h + cos a sin h with the fact that 
to prove that 
thereby establishing that sin x is continuous for all x. (Hint: Let h = x - a so that x = a + h and note that h→ 0 as x→ a.)
b. Use the identity cos 1a + h2 = cos a cos h - sin a sin h with the fact that 
to prove that 
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Step by Step Answer:
a Using the hint we have sin x sina x a sin a cosx a sinx a cos a Note ...View the full answer
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Related Book For 
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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