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Answer to Question #13075 in Trigonometry for Avruti Patel
Question #13075
If cos(alpha)+cos(beta)=0=sin(alpha)+sin(beta) then find the value of cos2(alpha)+cos2(beta)
Expert's answer
since cos(alpha)+cos(beta)=0=sin(alpha)+sin(beta), then this angles represent
opposite points on the unit circle.
Thus alpha=beta+pi
So,
cos2(alpha)+cos2(beta)=2cos(2*beta), where angles are determined by
alpha=beta+pi.
opposite points on the unit circle.
Thus alpha=beta+pi
So,
cos2(alpha)+cos2(beta)=2cos(2*beta), where angles are determined by
alpha=beta+pi.
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Comments
pi=3,1415926.. is a mathematical constant that is the ratio of a circle's circumference to its diameter.
what is pi ?
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