Applied Mechanics and Graphic Statics
The resolved part of the resultant of two forces inclined at an angle θ in a given direction is

Difference of the forces multiplied by cosine θ°
Sum of the forces multiplied by the tangent θ°
Arithmetical sum of the resolved parts of the forces in the direction
Algebraic sum of the resolved parts of the forces in the direction

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Applied Mechanics and Graphic Statics
If a set of given forces are such that their free vectors build a closed polygon, then

The resultant force and resultant couple are always zero
The resultant force is zero but resultant couple may not be zero
The resultant force is zero but resultant couple is not zero
The resultant force and resultant couple both may not be zero

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Applied Mechanics and Graphic Statics
The angle of friction is:

The angle between the normal reaction and the resultant of normal reaction and limiting friction
The force of friction at which the body is just about to move
The ratio of the friction and the normal reaction
The force of friction when the body is in motion

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