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If I have P(1-cos(L/2P))=A how do I solve for P?

Question

If I have P(1-cos(L/2P))=A how do I solve for P?

check_circleAnswer
Step 1

We have to use series expansion for cos(L/2P) (ignored higher terms)

2
L
2P
L2
cos
2P
2!
8P2
-
help_outline

Image Transcriptionclose

2 L 2P L2 cos 2P 2! 8P2 -

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Step 2

Plug this into the given exp...

P 1-cos
=A
2P
L2
1-
8P2
Or,
=A
L2
Or, P 1-1
-A
8P
L2
Or, P
=A
8P2
L2
-=A
Or,
8P
help_outline

Image Transcriptionclose

P 1-cos =A 2P L2 1- 8P2 Or, =A L2 Or, P 1-1 -A 8P L2 Or, P =A 8P2 L2 -=A Or, 8P

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