{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Stitz-Zeager_College_Algebra_e-book

# Moving one to the right and two down we nd the

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: he origin (pole). • Solve for pairs (r, θ) which satisfy both E1 and E2 . • Substitute (θ + 2πk ) for θ in either one of E1 or E2 (but not both) and solve for pairs (r, θ) which satisfy both equations. Keep in mind that k is an integer. • Substitute (−r) for r and (θ + (2k + 1)π ) for θ in either one of E1 or E2 (but not both) and solve for pairs (r, θ) which satisfy both equations. Keep in mind that k is an integer. 814 Applications of Trigonometry Our last example ties together graphing and points of intersection to describe regions in the plane. Example 11.5.4. Sketch the region in the xy -plane described by the following sets. 1. (r, θ) : 0 ≤ r ≤ 5 sin(2θ), 0 ≤ θ ≤ π 2 2. (r, θ) : 3 ≤ r ≤ 6 cos(2θ), 0 ≤ θ ≤ π 6 3. (r, θ) : 2 + 4 cos(θ) ≤ r ≤ 0, 4. (r, θ) : 0 ≤ r ≤ 2 sin(θ), 0 ≤ θ ≤ 2π 3 ≤θ≤ π 6 4π 3 ∪ (r, θ) : 0 ≤ r ≤ 2 − 2 sin(θ), π 6 ≤θ≤ π 2 Solution. Our ﬁrst step in these problems is to sketch t...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online