The side c of a triangle is determined by measuring the sides a, b and angle C. If the small changes in the sides and angle are given by da, db, dc and dC respectively, then show that: dc=cos B da+ços Adb+a sin B dC.

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter11: Introduction To Trigonometry
Section11.CT: Test
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The side c of a triangle is determined by measuring the sides a, b and angle C. If the small changes in the sides
and angle are given by da, db, dc and dC respectively, then show that:
dc=cos B da +cos Adb+asin B dC.
Transcribed Image Text:The side c of a triangle is determined by measuring the sides a, b and angle C. If the small changes in the sides and angle are given by da, db, dc and dC respectively, then show that: dc=cos B da +cos Adb+asin B dC.
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