anonymous
  • anonymous
Verify the identity. tan x + pi /2= -cot x
Precalculus
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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DebbieG
  • DebbieG
Surely it's tan (x + pi /2) = -cot x ??
DebbieG
  • DebbieG
You can't just use the tan(a+b) identity because you would get some tan(pi/2) which is undefined. But you CAN use the definition of tana=sina/cosa. So you have: \[\Large \tan \left( x+\dfrac{\pi}{2} \right)=\frac{ \Large \sin \left( x+\dfrac{\pi}{2} \right) }{ \Large \cos \left( x+\dfrac{\pi}{2} \right) }\] Then just expand each of the num'r and den'r using the sum identities for sine and cosine, and I bet everything will fall into place. :)
anonymous
  • anonymous
can you help me

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jdoe0001
  • jdoe0001
do you know the trig sum identities? what's sin(a + b) = ? what's cos(a + b) = ?
anonymous
  • anonymous
sina+b+sinacosb
anonymous
  • anonymous
?
jdoe0001
  • jdoe0001
http://www.mathplanet.com/images/math/codecogs_ca939b37.gif
anonymous
  • anonymous
ok
anonymous
  • anonymous
im lost
jdoe0001
  • jdoe0001
hmm? well, where at?
anonymous
  • anonymous
an you show me step by step
jdoe0001
  • jdoe0001
ok, do you see the sum identities in the picture? what would be sin(a +b)? what would be cos(a+b)?
anonymous
  • anonymous
yes
jdoe0001
  • jdoe0001
can you read this one => https://mathtestpreparation.com/Lessons/TrignSumADifForFig1.gif maybe
jdoe0001
  • jdoe0001
so, what would be sin(a +b)? what would be cos(a+b)? as expanding the identity
jdoe0001
  • jdoe0001
confused? where? :)
anonymous
  • anonymous
how do you expand

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