Continuity of sin x and cos x a. Use the identity sin 1a +
Chapter 2, Problem 105(choose chapter or problem)
Continuity of sin x and cos x a. Use the identity sin 1a + h2 = sin a cos h + cos a sin h with the fact that lim xS0 sin x = 0 to prove that lim xSa sin x = sin a, thereby establishing that sin x is continuous for all x. (Hint: Let h = x - a so that x = a + h and note that hS 0 as xS a.) b. Use the identity cos 1a + h2 = cos a cos h - sin a sin h with the fact that lim xS0 cos x = 1 to prove that lim xSa cos x = cos a.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer