4. The point P(0.5, 0) lies on the curve y= cos Tz a. If Q is the point (r, cos rr), use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of ii. 0.4 iii. 0.49 iv. 0.499 V. 1 vi. 0.6 vii. 0.51 viii. 0.501 b. Using the results of part (a), guess the value of the slope of the tangent line to the curve at P (0.5, 0). c. Using the slope from part (b), find an equation of the tangent line to the curve at P (0.5, 0) d. Sketch the curve, two of the secant lines, and the tangent line. t in foet t seconds later is ito h

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter1: The Six Trigonometric Functions
Section1.4: Introduction To Identities
Problem 61PS: Suppose the angle formed by the line y = 3x and the positive x-axis is 6. Find the tangent of ...
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Please answer all of the questions. Elaborate and make clear the last graph because that is the one I am struggling most on. Thank you so much! 

4. The point P(0.5, 0) lies on the curve y= cos Tz
a. If Q is the point (r, cos rr), use your calculator to find the slope of the secant line PQ
(correct to six decimal places) for the following values of
ii. 0.4
iii. 0.49
iv. 0.499
V. 1
vi. 0.6
vii. 0.51
viii. 0.501
b. Using the results of part (a), guess the value of the slope of the tangent line to the
curve at P (0.5, 0).
c. Using the slope from part (b), find an equation of the tangent line to the curve at
P (0.5, 0)
d. Sketch the curve, two of the secant lines, and the tangent line.
t in foet t seconds later is
ito h
Transcribed Image Text:4. The point P(0.5, 0) lies on the curve y= cos Tz a. If Q is the point (r, cos rr), use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of ii. 0.4 iii. 0.49 iv. 0.499 V. 1 vi. 0.6 vii. 0.51 viii. 0.501 b. Using the results of part (a), guess the value of the slope of the tangent line to the curve at P (0.5, 0). c. Using the slope from part (b), find an equation of the tangent line to the curve at P (0.5, 0) d. Sketch the curve, two of the secant lines, and the tangent line. t in foet t seconds later is ito h
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