SOLUTION: verify the identity cot(theta+pi/2)=-tan(theta)

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Question 981787: verify the identity
cot(theta+pi/2)=-tan(theta)

Answer by ikleyn(52782)   (Show Source): You can put this solution on YOUR website!

1.   = .

2.   =     (apply the formula for cosines of the sum of angles,  see the lesson  Addition and subtraction formulas  in this site,  or any textbook on Trigonometry)
                        = . - . = . - . = .

3.   =     (apply the formula for sines of the sum of angles,  see the same lesson  Addition and subtraction formulas  in this site,  or any textbook on Trigonometry)
                        = . + . = . + . = .

Hence,   = = = .

Conclusion.  The identity   =   which was proposed you to verify,  is true.


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