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OpenStudy (anonymous):
Is the cotan(theta) function the same as tan^-1(theta)?
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OpenStudy (anonymous):
\[\cot \theta = \frac{ 1 }{ \tan \theta }\]
OpenStudy (anonymous):
So that's a yes? If I'm entering it into my calculator (there is no cot function), I enter\[\cot(\theta) = \tan^{-1}(\theta)\]
OpenStudy (anonymous):
you can't write it as
\[\tan ^{-1} \theta \]
OpenStudy (anonymous):
Isn't that the same thing...? Doesn't:
\[\frac{ 1 }{ \tan(\theta) } = \tan ^{-1}(\theta)\]
OpenStudy (anonymous):
no my friend
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OpenStudy (anonymous):
:( okay. Thanks
OpenStudy (anonymous):
nope. to find cot(theta), do this: 1/(tan(theta))
OpenStudy (anonymous):
when we take tan function from one side of equality to other then we write tan^-1
OpenStudy (anonymous):
So you use tan^-1 in something like... To solve for x if tan(x)=a, then x=tan^-1(a)
OpenStudy (anonymous):
yes you are right
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OpenStudy (anonymous):
Thank you :)
OpenStudy (anonymous):
welcome
OpenStudy (anonymous):
Can you say\[\csc ^{4}(\theta) = \frac{ 1 }{ \sin ^{4}(\theta) }\]
OpenStudy (anonymous):
yep. in calculator, that would be: 1/(sin(theta))^4
OpenStudy (shubhamsrg):
-1 is a special case in trigonometric functions..
-1 corresponds to inverse function..
thus for 1/sin, we use cosec and likewise..
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OpenStudy (anonymous):
Thanks I get it now :)
OpenStudy (shubhamsrg):
hmm,,glad you do!
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