University:
Minnesota State University Moorhead
Course:
MATH-142 | Pre-Calculus
Academic year:

2019
Views:

19

Pages:

1
Author:

Leland Liu

PRE-CALCULUS GRADE 12 FORMULA PAGE The following information may be useful when writing this examination. csc θ = Trigonometry Algebra a = rθ −b ± b2 − 4ac For ax 2 + bx + c = 0 , x = 2a 1 sin θ sec θ = 1 cos θ sin θ tan θ = cos θ 1 cot θ = tanθ cot θ = sin 2 θ + cos2 θ = 1 tan 2 θ + 1 = sec2 θ 1 + cot 2 θ = csc2 θ cosθ sin θ Logarithms 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 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 sin ( α + β ) = sinα cos β + cos α sin β sin ( α − β ) = sinα cos β − cos α sin β neutral water Permutations and Combinations cos (α + β ) = cos α cos β − sinα sin β n Pr cos (α − β ) = cos α cos β + sinα sin β tanα + tan β tan (α + β ) = 1 − tan α + tan β tan (α − β ) = tan α − tan β 1 + tan α tan β increasing alkalinity n Cr = = n! ( n − r )! (rn) = r !(nn!− r )! n In the expansion of ( a + b) , the general term is t k +1 = nC k a n − k b k sin 2θ = 2 sin θ cos θ cos 2θ = cos2 θ − sin2 θ = 2 cos2 θ − 1 = 1 − 2 sin2 θ θ tan 2θ = 2 tan 2 1 − tan θ Pre-Caculus 12 – Formula Page Page 1

Pre-Calculus Grade 12 Formula Page

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