(5) 4. In the same graph as #2 draw the secant line joining (0, 0) and `; sin Find the slope of this line as a decimal. Is the slope of the tangent line at (0, 0) greater than or less than the slope of this secant 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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(5) 4. In the same graph as #2 draw the secant line joining (0, 0) and
sin
4
Find the slope of this line as a decimal. Is the slope of the tangent line at (0, 0) greater than
or less than the slope of this secant line?
(5) 5. Find the slope of the line joining (x, f(x)) and (x+h, f (x+h)) in terms of the nonzero
2л л л
number h. Taking x =0, verify that h=-
yield the slopes you caleulated in part
3 '2 4
#2 - #4 above.
Transcribed Image Text:(5) 4. In the same graph as #2 draw the secant line joining (0, 0) and sin 4 Find the slope of this line as a decimal. Is the slope of the tangent line at (0, 0) greater than or less than the slope of this secant line? (5) 5. Find the slope of the line joining (x, f(x)) and (x+h, f (x+h)) in terms of the nonzero 2л л л number h. Taking x =0, verify that h=- yield the slopes you caleulated in part 3 '2 4 #2 - #4 above.
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