(Hour30) Find the length of the part of the astroid x = cos³ t, y = sin³ t in the first quadrant (that is, from t = 0 to t = π/2). Hint: the trig identity, sin² t + cos² t = 1 might be useful. x = cos' t y = sin³ t 0≤152#

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 33E
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2. (Hour30) Find the length of the part of the astroid x = cos³ t, y = sin³ t in the first quadrant (that is,
from t = 0 to t = π/2). Hint: the trig identity, sin² t + cos² t = 1 might be useful.
x = cos³ t
y = sin³ t
0≤1≤2#
Transcribed Image Text:2. (Hour30) Find the length of the part of the astroid x = cos³ t, y = sin³ t in the first quadrant (that is, from t = 0 to t = π/2). Hint: the trig identity, sin² t + cos² t = 1 might be useful. x = cos³ t y = sin³ t 0≤1≤2#
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