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# Statics of a particle - How to solve for unknowns

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1. How do I solve what P and what x is?
I've have the equations:
6cos(45)-2cos(60)-Pcos(90-x)=0
and
6sin(45)+2sin(60)-4-Psin(90-x)=0

2. First,remember sin(90-x)= cos x, cos(90-x) = sin x.

Rewrite the equations to get two expressions of the form

P sin x = ...
P cos x = ...

You can then divide the first result by the second to find tan x and therefore x.

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Updated: September 29, 2016
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