What is the derivative of (sin(x))/(1-cos(x))?

kreiranihqlz

kreiranihqlz

Answered question

2023-03-09

What is the derivative of sin ( x ) 1 - cos ( x ) ?

Answer & Explanation

zarizaraje1

zarizaraje1

Beginner2023-03-10Added 5 answers

I would use the Quotient Rule to get:
y = sin ( x ) 1 cos ( x ) y = cos ( x ) [ 1 cos ( x ) ] sin ( x ) sin ( x ) [ 1 cos ( x ) ] 2 = cos ( x ) cos 2 ( x ) sin 2 ( x ) [ 1 cos ( x ) ] 2 = = cos ( x ) [ sin 2 ( x ) + cos 2 ( x ) ] [ 1 cos ( x ) ] 2 = cos ( x ) 1 [ 1 cos ( x ) ] 2 = 1 c o s ( x ) [ 1 cos ( x ) ] 2 = 1 1 cos ( x )

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