Formula Sheet - Pre Calculus 12 PDF

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Formula sheet for pre calculus 12. good luck on your studies...

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PRE-CALCULUS GRADE 12 FORMULA PAGE The following information may be useful when writing this examination. Trigonometry

Algebra

a = rθ csc θ =

1 sin θ

sec θ =

1 cos θ

−b ± b 2 − 4ac For ax 2 + bx + c = 0 , x = 2a

Logarithms

1 cot θ = tanθ

sin θ tan θ = cos θ cos θ cot θ = sin θ

sin 2 θ + cos 2 θ = 1 tan 2 θ + 1 = sec 2 θ 1 + cot 2 θ = csc2 θ

In chemistry, the pH scale measures the acidity (0–7) or alkalinity (7–14) of a solution. It is a logarithmic scale in base 10. Thus, a pH of 9 is 10 times more alkaline than a pH of 8. pH Scale

increasing acidity

increasing alkalinity

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14

sin ( α + β ) = sin α cos β + cos α sin β

neutral water

sin ( α − β ) = sin α cos β − cos α sin β

Permutations and Combinations

cos (α + β ) = cos α cos β − sin α sin β

n Pr

cos (α − β ) = cos α cos β + sin α sin β n Cr

tan (α + β ) =

tan α + tan β 1 −฀tanα ฀tanβ

tan (α − β ) =

tan α − tan β 1 + tan α tan β

=

=

n!

(n − r )!

(rn ) = r !( nn!− r)!

n In the expansion of ( a + b) , the general term is

tk +1 = nC k a n − k b k

sin 2θ = 2 sin θ cos θ

cos 2θ = cos 2 θ − sin2 θ = 2 cos 2 θ − 1 = 1 − 2 sin2 θ

θ tan 2θ = 2 tan 2 1 − tan θ Pre-Calculus 12 – Formula Page

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ROUGH WORK SPACE FOR GRAPHING (No marks will be given for work done on this page.)

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Pre-Calculus 12 – Formula Page...