A-level Maths Pure equations/formulas

sin(A+B)

sinAcosB+cosAsinB

sin(A-B)

sinAcosB-cosAsinB

cos(A+B)

cosAcosB-sinAsinB

cos(A-B)

cosAcosB+sinAsinB

tan(A+B)

tanA+tanB/1-tanAtanB

tan(A-B)

tanA-tanB/1+tanAtanB

What does sinx approximately equal?

x

What does tanx approximately equal?

x

What does cosx approximately equal?

1-(x^2)/2

What is equal to cotx ?

1/tanx

What is equal to cosecx?

1/sinx

What is equal to secx ?

1/cosx

What is sin^2(x) + cos^2(x)?

1

What is the cosine rule equation?

a^2 = b^2 + c^2 - 2bcCosA

What is the Sine rule for an angle?

sinA/a = sinB/b

What is the Sine Rule for a side?

a/sinA = b/sinB

What is the quadratic formula?

x = (-b ± √b^2 - 4ac)/2a

What is the straight line equation?

y-y₁ = m(x-x₁)

What is the equation for line length?

√(x₂-x₁)²+(y₂-y₁)²

What is the equation of a circle?

(x-a)²+(y-b)² = r²

What is the division log rule?

Log(A/B) = Log(A) - Log(B)

What is the multiplication log rule?

Log(AB) = Log(A) + Log(B)

What is the power log rule?

nLog(A) = Log(A^n)

What is differentiation of e^x?

e^x (doesn't change as e is gradient constant)

What is the limit differentiation formula?

F'(x) = ( F(x+h) - F(x) ) / h

What is sin2A?

2sinAcosA

What is cos2A?

* cos^2A-sin^2A
* 2cos^2A-1
* 1-2sin^2A

What is tan2A?

2tanA/1-tan^2A

What is sec^2(x) equal to?

1 + tan^2x

what is cosec^2(x) equal to

1 + cot^2x

What is the equation for area of a segment?

(½) × r2 (θ - Sin θ)

What is the formula to find nth term?

Un = a + (n-1)d

What is the two formulas for arithmetic sequences?

* Sn = n/2 x (2a + (n-1)d)
* Sn = n/2 x (a + l)