Shared Flashcard Set

Details

Identities
math
34
Mathematics
11th Grade
03/07/2011
Click here to study/print these flashcards.

Create your own flash cards! Sign up here.

Additional Mathematics Flashcards

 

 

Cards

Term
tanø
 Definition
sinø/cosø
Term
cotø
 Definition
cosø/sinø
Term
checklist
 Definition
substitute both ways, factor, find for sin + cos, multiply by denominator conjugate,
Term
1st Pythagorean identity
 Definition
sin2ø + cos2ø = 1
Term
2nd Pythagorean identity
 Definition
cot2ø+1=csc2ø
Term
3rd Pythagorean identity
 Definition
tan2ø+1=sec2ø
Term
Pythagorean involvement
 Definition
sin2ø, 1, csc2ø, cos2ø, cot2ø, tan2ø, sec2ø
Term
sin (π/2-ø)
 Definition
Cosø
Term
cos (π/2-ø)
 Definition
sinø
Term
tan (π/2-ø)
 Definition
cotø
Term
sec (π/2-ø)
 Definition
cscø
Term
cot (π/2-ø)
 Definition
tanø
Term
csc (π/2-ø)
 Definition
secø
Term
sin/csc (-x) =
 Definition
-sin/csc(x)
Term
cos/sec (-x) =
 Definition
cos/sec(x)
Term
tan (-x) =
 Definition
-tan (x)
Term
ODD FUNCTIONS
 Definition
ORIGIN - sin, csc, tan, cot
Term
EVEN FUNCTIONS
 Definition
Y AXIS - cos, sec
Term
sin (a+b)
 Definition
sin(a)cos(b)+cos(a)sin(b)
Term
sin(a-b)
 Definition
sin(a)cos(b)-cos(a)sin(b)
Term
cos (a+b)
 Definition
cos(a)cos(b) - sin(a)sin(b)
Term
cos (a-b)
 Definition
cos(a)cos(b)+sin(a)sin(b)
Term
tan (a+b)
 Definition
tan(a) + tan(b) / 1-tan(a)tan(b)
Term
tan (a-b)
 Definition
tan(a)-tan(b) / 1 + tan(a)tan(b)
Term
Law of Cosines
 Definition
in ABC, c^2 = a^2 + b^2 - (2 x a x b x cosC)
Term
Heron's formula
 Definition
squroot ( s(s-a)(s-b)(s-c) )
Term
s (semiperimiter)
 Definition
half the perimiter of the triangle
Term
area of a triangle
 Definition
1/2absinC = 1/2bcsinA = 1/2 acsinB
Term
Law of Sines
 Definition
sin A / a = sin B / b = sin C / c
Term
ASS, AAS, ASA
 Definition
law of sines
Term
SSS, SAS,
 Definition
law of cosines (for at least 2)
Term
sin B > 1
 Definition
no solution
Term
180 - answer works also
 Definition
2 solutions
Term
180 - answer doesn't work
 Definition
1 solution
Supporting users have an ad free experience!