1. The point P(0.5,0) lies on the curve y = cos (Tx). (a) If Q is the point (x, cos (Tx)), use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of c: i. 0 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.
1. The point P(0.5,0) lies on the curve y = cos (Tx). (a) If Q is the point (x, cos (Tx)), use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of c: i. 0 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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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