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Difference between revisions of "Specimen Cyprus Seniors Provincial/2nd grade/Problem 2"
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== Problem ==
 
== Problem ==
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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>
+
If <math>\alpha=sinx_{1}</math>,<math>\beta=cosx_{1}</math><math>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>
  
  

Revision as of 07:28, 12 November 2006

Problem

If $\alpha=sinx_{1}$,$\beta=cosx_{1}$$sinx_{2}$, $\gamma=cosx_{1}cosx_{2} sinx_{3}$ and $\delta=cosx_{1}cosx_{2}cosx_{3}$ prove that $\alpha^2+\beta^2+\gamma^2+\delta^2=1$


Solution

See also

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