3. Find a rectangular equation to represent the plane curve. x = 3 tant, y = 2 sect for tin (-7-7)

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Find a rectangular equation to represent the plane curve 

**3. Find a rectangular equation to represent the plane curve.**

\[ x = 3 \tan t, \quad y = 2 \sec t \quad \text{for} \quad t \in \left( -\frac{\pi}{2}, \frac{\pi}{2} \right) \]

**4. A golf ball is hit with a 45° angle of elevation from the top of a ridge that is 50 feet above ground level. The initial velocity of the ball is 88 feet per second.**

(a) Create a pair of parametric equations that model the path of the golf ball. Use:

\[ x = (v \cos \theta) t \]

\[ y = -16t^2 + (v \sin \theta)t + h \]
Transcribed Image Text:**3. Find a rectangular equation to represent the plane curve.** \[ x = 3 \tan t, \quad y = 2 \sec t \quad \text{for} \quad t \in \left( -\frac{\pi}{2}, \frac{\pi}{2} \right) \] **4. A golf ball is hit with a 45° angle of elevation from the top of a ridge that is 50 feet above ground level. The initial velocity of the ball is 88 feet per second.** (a) Create a pair of parametric equations that model the path of the golf ball. Use: \[ x = (v \cos \theta) t \] \[ y = -16t^2 + (v \sin \theta)t + h \]
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