Stitz-Zeager_College_Algebra_e-book

Some of these curves have polar representations which

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Unformatted text preview: into Quadrant I along the terminal side of θ = 50◦ . Similarly, S15◦ W would point into Quadrant III along the terminal side of θ = 255◦ because we started out pointing due south (along θ = 270◦ ) and rotated clockwise 15◦ back to 255◦ . Counter-clockwise rotations would be found in the bearings N60◦ W (which is on the terminal side of θ = 150◦ ) and S27◦ E (which lies along the terminal side of θ = 297◦ ). These four bearings are drawn in the plane below. N N40◦ E N60◦ W 40◦ 60◦ W E 27◦ 15◦ S15◦ W S S27◦ E 770 Applications of Trigonometry The cardinal directions north, south, east and west are usually not given as bearings in the fashion described above, but rather, one just refers to them as ‘due north’, ‘due south’, ‘due east’ and ‘due west’, respectively, and it is assumed that you know which quadrantal angle goes with each cardinal direction. (Hint: Look at the diagram above.) (a) Find the angle θ in standard position with 0◦ ≤ θ < 360◦ which corresponds to each of the bearings given below. i. due west ii...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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