1.6x10

Change the subject of an algebraic equation

For example: If A = BxC then C = A/B and so B = A/C

Solve algebraic equations of the form: ax

Roots of the equation = [-b± (b

Logarithms

log (ab) = log a + log bsp log (a/b) = log a - log bsp log (x

Binomial theorem ( for small x)

(1 + x

Areas and volumes

Area of a circle = pr

Volume of a sphere = 4/3 pr

Surface area of a cylinder = 2pr

Surface area of rectangular block with sides a, b and c = 2ab + 4acsp

Surface area of cube with sides a = 2a

Volume of rectangular block with sides a, b and c = abcsp Volume of cube with sides a = a

Sines, cosines and tangents

sin A = opposite side/hypotenusesp cos A = adjacent side/hypotenusesp

tan A = opposite side/adjacent side

sin A = cos(90 - A)sp cos A = sin(90 - A)

Expansions of sin(A ± B) and cos(A ± B)

sin(A + B) = sinAcosB + cosAsinBspaces sin(A - B) = sinAcosB - cosAsinB

cos(A + B) = cosAcosB - sinAsinBspaces cos(A - B) = cosAcos B + sinAsinB

Identities:

sin

When q tends to zero:

sin q tends to q

cos q tends to 1

tan q tends to q

If q