Engineering Mechanics
If a number of forces are acting at a point, their resultant will be inclined at an angle 'θ' with the horizontal, such that

tanθ = ΣV × ΣH
tanθ = ΣV/ΣH
tanθ = √(ΣV + ΣH)
tanθ = ΣH/ΣV

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Engineering Mechanics
The Cartesian equation of trajectory is (where u = Velocity of projection, α = Angle of projection, and x, y = Co-ordinates of any point on the trajectory after t seconds.)

y = x. tanα + (gx²/2u² cos²α)
y = x. tanα - (gx²/2u² cos²α)
y = (gx²/2u² cos²α) - x. tanα
y = (gx²/2u² cos²α) + x. tanα

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Engineering Mechanics
The resolved part of the resultant of two forces inclined at an angle 'θ' in a given direction is equal to

The difference of the forces multiplied by the cosine of θ
The sum of the resolved parts of the forces in the given direction
The sum of the forces multiplied by the sine of θ
The algebraic sum of the resolved parts of the forces in the given direction

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