Problem 2: The point P(0.5, 0) lies on the curve y = cos T.I. (a) If Q is the point (r, cos .r), find the slope of the secant line PQ (correct to six decimal places) for the following values of x : (i) 0 (v) 1 (ii) 0.4 (vi) 0.6 (iii) 0.49 (vii) 0.51 (iv) 0.499 (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.

Problem 2: The point P(0.5, 0) lies on the curve y = cos T.I. (a) If Q is the point (r, cos .r), find the slope of the secant line PQ (correct to six decimal places) for the following values of x : (i) 0 (v) 1 (ii) 0.4 (vi) 0.6 (iii) 0.49 (vii) 0.51 (iv) 0.499 (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 94E

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