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anonymous
 one year ago
Verify the Identity:
cot(xpi/2)=tanx
Need help solving, will medal immediately. (:
anonymous
 one year ago
Verify the Identity: cot(xpi/2)=tanx Need help solving, will medal immediately. (:

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jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.0hint: \(\bf cot\left( x\frac{\pi }{2} \right)\implies \cfrac{cos\left( x\frac{\pi }{2} \right)}{sin\left( x\frac{\pi }{2} \right)} \\ \quad \\ \cfrac{cos(x)cos\left(\frac{\pi }{2} \right)+sin(x)sin\left(\frac{\pi }{2} \right)}{sin(x)cos\left(\frac{\pi }{2} \right)cos(x)sin\left(\frac{\pi }{2} \right)}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@jdoe0001 I'm still confused as to how to verify the identity

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.0well... what's the \(cos\left(\frac{\pi }{2} \right)?\) what about the \(sin\left(\frac{\pi }{2} \right) ?\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The cos is 0 and the sin is 1, correct? @jdoe0001

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.0\(\bf cot\left( x\frac{\pi }{2} \right)\implies \cfrac{cos\left( x\frac{\pi }{2} \right)}{sin\left( x\frac{\pi }{2} \right)} \\ \quad \\ \cfrac{cos(x)cos\left(\frac{\pi }{2} \right)+sin(x)sin\left(\frac{\pi }{2} \right)}{sin(x)cos\left(\frac{\pi }{2} \right)cos(x)sin\left(\frac{\pi }{2} \right)}\implies \cfrac{cos(x)\cdot 0+sin(x)\cdot 1}{sin(x)\cdot 0cos(x)\cdot 1}\implies ?\)

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.0what are you left with?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0We are left with sin(x)/cos(x) which equals tanx. Oh my gosh I get it thank you so much!
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