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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