A rotation of angle θ with 0º<θ<90º is applied in the Cartesian coordinate system xOy so that the line given by the equation 8x+3y=0 becomes, in the new system x′Oy′, the line given by the equation y′ =x′. Check the alternative that contains the value of cos(θ). Choose the correct alternative: a. 5/2√73 b. 5/√146 c. 11/√146 d. 5/√73 e. 11/√73

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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A rotation of angle θ with 0º<θ<90º is applied in the Cartesian coordinate system xOy so that the line given by the equation 8x+3y=0 becomes, in the new system x′Oy′, the line given by the equation y′ =x′. Check the alternative that contains the value of cos(θ).

Choose the correct alternative:

a. 5/2√73
b. 5/√146
c. 11/√146
d. 5/√73
e. 11/√73

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