P is a point and PM and PN are the perpendiculars from P to z-x and x-y planes. If OP mak angles 0, a, ß and y with the plane OMN and the x-y, y-z and z-x planes, respectively, then prove cosec² 0= cosec²a+ cosec² B+ cosec² y. th

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 24E
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P is a point and PM and PN are the perpendiculars from P to z-x and x-y planes. If OP makes
angles 0, a, ß and y with the plane OMN and the x-y, y-z and z-x planes, respectively, then prove that
cosec² 0= cosec²a+ cosec² B+ cosec² y.
Transcribed Image Text:P is a point and PM and PN are the perpendiculars from P to z-x and x-y planes. If OP makes angles 0, a, ß and y with the plane OMN and the x-y, y-z and z-x planes, respectively, then prove that cosec² 0= cosec²a+ cosec² B+ cosec² y.
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