2. Using trigonometric identities. (a) What are the exact values of: 7 π 4 4 3 Note: This class will be a lottttttttttttt easier if you memorize the values of the sine, cosine, and tangent of the angles 0, π/6, π/4, T/3, and x/2. Just sayin' .... sin COS sin 7T (b) Use the identity cos(A + B) = cos A cos B part (a) to find the exact value of cos- mentioned above?) 12 (c) What is the exact value of cos 57? 4 COS 4 π 3 sin Asin B and your answers to 7T (Hint: Is the sum of two angles 12 -? Before you find the value, explain how you can tell just from looking at the angle on the unit circle that its cosine must be negative?
2. Using trigonometric identities. (a) What are the exact values of: 7 π 4 4 3 Note: This class will be a lottttttttttttt easier if you memorize the values of the sine, cosine, and tangent of the angles 0, π/6, π/4, T/3, and x/2. Just sayin' .... sin COS sin 7T (b) Use the identity cos(A + B) = cos A cos B part (a) to find the exact value of cos- mentioned above?) 12 (c) What is the exact value of cos 57? 4 COS 4 π 3 sin Asin B and your answers to 7T (Hint: Is the sum of two angles 12 -? Before you find the value, explain how you can tell just from looking at the angle on the unit circle that its cosine must be negative?
Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
Problem 47E: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate...
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(c) Based on your answer to part (b), what do you think is the limit off as r
approaches 4?
(d) Use a graphing calculator or desmos.com to graph the curve y = f(r) on the
interval 0 ≤ x ≤5 (except, of course, at x =4, where f is undefined). As we
did in class yesterday, draw an ant crawling along this curve near x = 4. What
y value would the ant conclude it is approaching as it crawls toward x = 4?
4
2. Using trigonometric identities.
(a) What are the exact values of:
ㅠ
● COS
ㅠ
4
4
sin
3
Note: This class will be a lottttttttttttt easier if you memorize the values of the
sine, cosine, and tangent of the angles 0, π/6, π/4, /3, and x/2. Just sayin'
sin
can tell just from looking at the angle
be negative?
• COS
(b) Use the identity cos(A + B) = cos A cos B sin Asin B and your answers to
7T
part (a) to find the exact value of cos (Hint: Is the sum of two angles
12
mentioned above?)
7T
12
1+ cos 20
2
Download
3
5T
(c) What is the exact value of cos ? Before you find the value, explain how you
4
on the unit circle that its gosine must
O Search
(d) Use the identity cos² 0 =
5T
exact value of cos
8
3. Recall that a function of the form f(g(x)) (also written (fog)(x)) is called a composite
function. Suppose that f(g(x)) = sec(r² + 1) 5. There are various functions f
and g that can satisfy this equation. I've filled in the first pair of functions in line 1.
and your answer to part (c) to find the
O
DELL
1
>
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