+0  
 
0
662
1
avatar
How do you simplify cot(sec^1x)?
 Feb 9, 2014
 #1
avatar+118654 
0
Help:

How do you simplify cot(sec^1x)?


I think that this is what you meant.
simplify cot(sec -1x)

Draw a right angled triangle.
put theta in one of the acute angles.
Now let
Θ = sec -1x
this means that
sec Θ = x/1 = 1/ cos Θ
∴ cos Θ = 1 / x
So put 1 on the adjacent side and x on the hypotenuse
Use Pythagoras Theorem to find the third side.
Now read cot Θ straight off your triangle.
 Feb 9, 2014

5 Online Users

avatar