Stitz-Zeager_College_Algebra_e-book

In the language of section 73 4p 2d so p d the focus

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

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: g the polar axis 117 units from the pole and rotate π clockwise 52 radians as illustrated below. Pole Pole π θ = − 52 π P 117, − 52 Since P is 117 units from the pole, any representation (r, θ) for P satisfies r = ±117. For the π r = 117 case, we can take θ to be any angle coterminal with − 52 . In this case, we choose π π θ = 32 , and get 117, 32 as one answer. For the r = −117 case, we visualize moving left 117 units from the pole and then rotating through an angle θ to reach P . We find θ = π satisfies 2 this requirement, so our second answer is −117, π . 2 Pole θ= Pole 3π 2 θ= P 117, 3π 2 π 2 P −117, π 2 786 Applications of Trigonometry 4. We move three units to the left of the pole and follow up with a clockwise rotation of π radians to plot P −3, − π . We see that P lies on the terminal side of 34 . 4 π 4 P −3, − π 4 θ = −π 4 Pole Pole π π Since P lies on the terminal side of 34 , one alternative representation for P is 3, 34 . To find a different represe...
View Full Document

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.

Ask a homework question - tutors are online