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Pre-Calculus Ch. 8
Memorization Test
33
Mathematics
12th Grade
02/25/2008

Additional Mathematics Flashcards

 


 

Cards

Term

 

 

 

 

 

csc Θ

Definition

 

 

 

1/sin Θ 

Term

 

 

 

 

 

sec Θ 

Definition

 

 

 

 

 

1/cos Θ 

Term

 

 

 

 

 

cot Θ 

Definition

 

 

 

 

 

1/tan Θ 

Term

 

 

 

 

 

tan Θ 

Definition

 

 

 

 

 

sin Θ/cos Θ 

Term

 

 

 

 

 

cot Θ 

Definition

 

 

 

 

 

cos Θ/sin Θ

Term

 

 

 

 

 

sin2Θ + cos2Θ 

 

 

Definition

 

 

 

 

 

= 1 

Term

 

 

 

 

 

tan2Θ + 1 

Definition

 

 

 

 

 

= sec2Θ

Term

 

 

 

 

 

cot2Θ + 1

Definition

 

 

 

 

 

= csc2Θ 

Term

 

 

 

 

 

sin(-Θ) 

Definition

 

 

 

 

 

= -sinΘ 

Term

 

 

 

 

 

cos(-Θ) 

Definition

 

 

 

 

 

= cosΘ 

Term

 

 

 

 

 

tan(-Θ) 

Definition

 

 

 

 

 

-tanΘ 

Term

 

 

 

 

 

sin(Θ+2∏) 

Definition

 

 

 

 

 

= sinΘ 

Term

 

 

 

 

 

cos(Θ+2∏) 

Definition

 

 

 

 

 

= cosΘ 

Term

 

 

 

 

 

tan(Θ+∏) 

Definition

 

 

 

 

 

= tanΘ

Term

 

 

 

 

 

sin(∏/2 + Θ) 

Definition

 

 

 

 

 

= cosΘ 

Term

 

 

 

 

 

cos(∏/2 - Θ) 

Definition

 

 

 

 

 

= sin Θ 

Term

 

 

 

 

 

sin(φ+β) 

Definition

 

 

 

 

 

= sinφcosβ + cosφsinβ 

Term

 

 

 

 

 

cos(φ+β) 

Definition

 

 

 

 

 

= cosφcosβ - sinφsinβ 

Term

 

 

 

 

 

tan(φ+β) 

Definition

 

 

 

 

 

= tan φ + tan β


 1 - tanφtanβ

Term

 

 

 

 

 

sin(φ - β) 

Definition

 

 

 

 

 

= sinφcosβ - cosφsinβ 

Term

 

 

 

 

 

cos(φ - β) 

Definition

 

 

 

 

 

= cosφcosβ + sinφsinβ 

Term

 

 

 

 

 

tan(φ - β) 

Definition

 

 

 

 

 

= tanφ - tanβ


1 + tanφtanβ 

Term

 

 

 

 

 

 sin2Θ

Definition

 

 

 

 

 

= 2sinΘcosΘ 

Term

 

 

 

 

 

cos2Θ 

Definition

 

 

 

 

 = cos2Θ - sin2Θ

2cos2Θ - 1

1 - 2sin2Θ

Term

 

 

 

 

 

 

tan2Θ 

Definition

 

 

 

 

 

=  2tanΘ


        1-tan2Θ

Term

 

 

 

 

 

sinΘ/2 

Definition

 

 

 

 

 

= ±√(1 - cosΘ)/2

 

Term

 

 

 

 

 

cosΘ/2

Definition

 

 

 

 

 

= ±√(1 + cosΘ)/2 

Term

 

 

 

 

 

tanΘ/2 

Definition

 

 

 

 

= sinΘ/(1 + cosΘ)

 

    (1 - cosΘ)/sin Θ 

Term

 

 

 

 

 

1 - sin2Θ

Definition

 

 

 

 

 

= (1- sinΘ)(1 + sinΘ) 

Term

 

 

 

 

 

cos2Θ - sin2Θ

Definition

 

 

 

 

 

= (cosΘ + sinΘ)(cosΘ - sinΘ) 

Term

 

 

 

 

 

1 - cos2Θ

Definition

 

 

 

 

 

(1 + cosΘ)(1 - cosΘ) 

Term

 

 

 

 

 

sec2Θ - 1

Definition

 

 

 

 

 

= (secΘ + 1)(secΘ - 1) 

Term

 

 

 

 

 

sec2Θ - tan2Θ

Definition

 

 

 

 

 

= (secΘ + tanΘ)(secΘ - tanΘ) 

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