If $$A=$$$$cos$$â¡Î±â$$sin$$â¡Î±$$sin$$â¡Î±$$cos$$â¡Î± and $$A+A$$â²$$=I$$, then Î± equals

Correct option is 22nÏÂ±Ï3,nâI

Questions

If $A = (\begin{array}{cc} \cos â¡ Î± & â \sin â¡ Î± \\ \sin â¡ Î± & \cos â¡ Î± \end{array})$ and $A + A^{â²} = I$ , then $Î±$ equals

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2nÏÂ±Ï2,nâI

2nÏÂ±Ï3,nâI

2nÏÂ±2Ï3,nâI

2nÏÂ±4Ï3,nâI

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detailed solution

Correct option is B

â 1001=2cosâ¡Î±002cosâ¡Î±â 2cosâ¡Î±=1 â cosâ¡Î±=12=cosâ¡Ï3â Î±=2nÏÂ±Ï3,nâI

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If A=cosâ¡Î±âsinâ¡Î±sinâ¡Î±cosâ¡Î± and A+Aâ²=I, then Î± equals

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If $A = (\begin{array}{cc} \cos â¡ Î± & â \sin â¡ Î± \\ \sin â¡ Î± & \cos â¡ Î± \end{array})$ and $A + A^{â²} = I$ , then $Î±$ equals