anonymous
  • anonymous
Verify tan(x + pi/2) = -cotx
Precalculus
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
tan ( x+ pi/2) = tan ( 90 + x) since the angle is in the second quadrant .where tan is negative. thus the negative sign. and the angle from the horizontal is 180-(90+x) =90-x..hence it changes to cot therefore tan(90=x) = - cotx
anonymous
  • anonymous
thanks
shubhamsrg
  • shubhamsrg
To cut out on the theory, mathematically you can prove it like this : tan(pi/2 +x) = tan(pi/2 - (-x)) = cot(-x) = -cotx

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anonymous
  • anonymous
i think u need some other method, the very basic method ? |dw:1359120108418:dw|
anonymous
  • anonymous
just put b=Pi/2 u will get -1/tanc =-cotx
anonymous
  • anonymous
tan(x + pi/2) = -cotx it another way of saying cot x flipped along x axis and shifted pi/2 to right or left. I think.

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