# Trapezium Rule Formula given 5 ordinates means n=4 strips.

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Trapezium Rule Formula given 5 ordinates means n=4 strips

Trig Equations 1 Sin -1 0.5 Bow ties to get 2 angles As its 3x goes round the bow tie 2 more times Take away 15, divide by 3 Its only x between 0 and 180

Trig Equations II Stays the same Subs sin 2 x = 1 – cos 2 x or vice versa Set up quadratic equation Solve Don’t forget bow ties

Integration Rearrange to get powers of x Cube root is 1/3 Write powers on the bottom as negative powers

Area under the curve Solve curve = line to find A and B Integrate between these x values Integration is area under curve Here shaded area = area under curve - trapezium

APs Use nth term = a + (n-1)d Expect simultaneous equations to find a and d Learn proof

GPs 3 formula to learn: Nth term = a x r n-1 Only if r is a between -1 and 1, Set up equations Expect quadratic equation, or to divide equations Learn proof

Radians 3 formula to set up and solve equation Arc length = rθ Sector area = ½ r 2 θ Triangle area = ½ r 2 sin θ Don’t forget area of circle = π r 2 Circumference of circle = πd

Circles C1 complete the square Find the number in front of x Halve and square Repeat for y Centre and radius can be written down Radius and tangent meet at 90°, so grads x to -1 If 2 circles touch, distance between centres is the 2 radius added

Logs Adopt a log eg log 10 100 = 2, as 10 2 = 100 Log x + log y = log xy Log x – log y = log (x/y) Log x n = n log x Use to write as a single log Solve equation with x as a power

Triangles Also Sin 30 = cos 60 = ½ Sin 60 = cos 30 = √3 2