Specimen Cyprus Seniors Provincial/2nd grade/Problem 2

Problem

If , , $\ganna=cosx_{1}cosx_{2}sinx_{3}$ (Error compiling LaTeX. Unknown error_msg) and prove that $\alpha^2+\beta^2+\ganna^2+\delta^2=1$ (Error compiling LaTeX. Unknown error_msg)

Solution

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See also

• Cyprus Seniors Provincial competition
• Cyprus Seniors Provincial Problems and Solutions
• Mathematics competition resources