dy 37. Find parametric equations for y = sin(x) using the parameter t = da Verify that at t = 1, the point on the graph has a tangent line with slope of 1. y = At t = 1, the curve is at the point dy The formula for is dy da dz dy And so when t = 1, the value of is da v Answer 1 v Answer 2 v Answer 3 v Answer 4 v Answer 5 1 cos(x) (0,0) V1- t2 cos-(t)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
Question

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37. Find parametric equations for y = sin(x) using the parameter t= .
Verify that at t = 1, the point on the graph has a tangent line with slope of 1.
dx
y =
At t = 1, the curve is at the point
The formula for
dy
is
dy
da
dz
And so when t = 1, the value of is
dz
v Answer 1
v Answer 2
v Answer 3
v Answer 4
v Answer 5
1
cos(x)
(0,0)
V1- t
cos-(t)
Transcribed Image Text:37. Find parametric equations for y = sin(x) using the parameter t= . Verify that at t = 1, the point on the graph has a tangent line with slope of 1. dx y = At t = 1, the curve is at the point The formula for dy is dy da dz And so when t = 1, the value of is dz v Answer 1 v Answer 2 v Answer 3 v Answer 4 v Answer 5 1 cos(x) (0,0) V1- t cos-(t)
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