Difference between revisions of "Specimen Cyprus Seniors Provincial/2nd grade/Problem 2"

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== Problem ==
 
== Problem ==
If <math>\alpha=sinx_{1}</math>, <math>\beta=cosx_{1} sinx_{2}</math>, <math>\gamma=cosx_{1}cosx_{2} sinx_{3}</math> and <math>\delta=cosx_{1}cosx_{2}cosx_{3}</math> prove that <math>\alpha^2+\beta^2+\gamma^2+\delta^2=1</math>
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If <math>\alpha=sinx_{1}</math>,<math>\gamma=cosx_{1} sinx_{2}</math>, <math>\gamma=cosx_{1}cosx_{2} sinx_{3}</math> and <math>\delta=cosx_{1}cosx_{2}cosx_{3}</math> prove that <math>\alpha^2+\beta^2+\gamma^2+\delta^2=1</math>
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== Solution ==
 
== Solution ==

Revision as of 07:26, 12 November 2006