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Find and equivalent algebraic expression for the composition. cot(arcsin(x))

 Jul 17, 2014

Best Answer 

 #2
avatar+130466 
+8

Find and equivalent algebraic expression for the composition, cot(arcsin(x))

So we're looking for the cotangent of an angle whose sine = x  =  x/1

So using the Pythagorean Theorem, the side adjacent to the angle is √(1 - x2)

So the cotangent  is   √(1 - x2) / x

 

 Jul 18, 2014
 #1
avatar+8262 
0

I only know the answer. The answer is arcsin(x)=90. I don't know the equivalant expression.

 Jul 17, 2014
 #2
avatar+130466 
+8
Best Answer

Find and equivalent algebraic expression for the composition, cot(arcsin(x))

So we're looking for the cotangent of an angle whose sine = x  =  x/1

So using the Pythagorean Theorem, the side adjacent to the angle is √(1 - x2)

So the cotangent  is   √(1 - x2) / x

 

CPhill Jul 18, 2014
 #3
avatar+8262 
0

Your answer is better than mine, Chris.

I wish I was so smart...  

 Jul 18, 2014

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