Stitz-Zeager_College_Algebra_e-book

# Definition 1110 the principal unit vectors the vector

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Unformatted text preview: sin(2θ) and r = 1 y √ 1, 2 1 √ −2 −1 1 −1 √ −2 √ 2 x π , 12 1, 5π , 12 1, 13π , 12 1, 17π 12 11.5 Graphs of Polar Equations 3. (a) 825 (r, θ) : 1 + cos(θ) ≤ r ≤ 3 cos(θ), − π ≤ θ ≤ 3 y π 3 3 2 1 −3 −2 −1 −1 1 2 3 x −2 −3 (b) 2 sin(2θ), (r, θ) : 1 ≤ r ≤ 13π 12 ≤θ≤ 17π 12 y √ 2 1 √ −2 −1 √ 1 2 x −1 √ −2 4. (a) (r, θ) : 0 ≤ r ≤ 6 sin(θ), π 2 ≤θ≤π (b) {(r, θ) : 0 ≤ r ≤ 3 − 3 cos(θ), 0 ≤ θ ≤ π } (c) (r, θ) : 0 ≤ r ≤ 3 cos(4θ), − π ≤ θ ≤ 8 (d) (r, θ) : 0 ≤ r ≤ 3 cos(θ), − π ≤ θ ≤ 0 ∪ {(r, θ) : sin(θ) ≤ r ≤ 3 cos(θ), 0 ≤ θ ≤ arctan(3)} 2 π 8 826 11.6 Applications of Trigonometry Hooked on Conics Again In this section, we revisit our friends the Conic Sections which were ﬁrst introduced in Chapter 7. The ﬁrst part of the section is a follow-up to Example 8.3.3 in Section 8.3. In that example, we 2 saw that the graph of y = x is actually a hyperbola....
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