Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = (cos t)j+ (sin t) k, 0sts, COS

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 40E
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12.3.5
Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.
兀
r(t) = ( cos t)j+ (sin t) k,
COS
Find the curve's unit tangent vector.
T(1) =
cos (t) į + sin (t) k
The length of the curve is
(Type an exact answer, using a as needed.)
Transcribed Image Text:12.3.5 Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. 兀 r(t) = ( cos t)j+ (sin t) k, COS Find the curve's unit tangent vector. T(1) = cos (t) į + sin (t) k The length of the curve is (Type an exact answer, using a as needed.)
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