Mathematics Formulae - Roymech

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Mensuration

Area of a Triangle, (sides a,b,c).. Area = ( b . c sin A )/ 2 Area of a Triangle = Sqrt (s .(s - a). (s - b). (s - c))........( s = (a + b + c)/ 2.)

Area of a Circle (r = radius).. Area = π . r 2

Area and Volume of a Cylinder

Area and Volume of a Cone

Area and Volume of a Frustrum of a Cone

Area and Volume of a Sphere

Area and Volume of a Pyramid

Trigonometry...

Definitions... Sin A = Opposite / Hypotenuse = a / c Cosine A = Adjacent / Hypotenuse = b / c Tangent A = Opposite / Adjacent = a / b Cosecant A = 1 / sin = c / a Secant A = 1/cosine = c / b Cotangent A = 1/tangent. = b / a Trigonometric Relations... Sin ( - A) = - Sin (A) Cos ( - A) = cos (A) Sin (A) 2 + Cos A 2 = 1 Cos (A) 2 =(1 + Cos (2A) ) /2 Trigonometric Relations...(continued) Sin (A) 2 =(1 - Cos (2A) ) /2 Sin (A) Cos(A) = Sin (2A) /2 Sin (A + B) = Sin (A) Cos(B) + Cos(A) Sin(B) Sin (A - B) = Sin (A) Cos(B) - Cos(A) Sin(B) Cos (A + B) = Cos (A) Cos(B) - Sin(A) Sin(B) Cos (A - B) = Cos (A) Cos(B) + Sin(A) Sin(B) Sin(A).Sin(B) = [-Cos(A+B) + Cos (A-B)]/2 Cos(A).Cos(B) = [Cos(A+B) + Cos (A-B)]/2 1 + tan(A) 2 = sec(A) 2 1 + cot(A) 2 = cosec(A) 2

Hyperbolic Functions

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