Algebra 2 / Trig Honors Flash Cards

Created by eberett 

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sin (u+v)

sin u cos v + cos u sin v

sin (u-v)

sin u cos v - cos u sin v

cos (u+v)

cos u cos v - sin u sin v

cos (u-v)

cos u cos v + sin u sin v

tan (u+v)

tan u + tan v
-----------------------
1 - tan u tan v

tan (u-v)

tan u - tan v
-----------------
1 + tan u tan v

sin 2u

2 sin u cos u

cos 2u

1- 2sin^2 u
2cos^2 u -1
cos^2 u - sin^2 u

tan 2u

2tan u
-----------------
1- tan^2 u

sin^2 u

1-cos 2u
-------------
2

cos^2 u

1 + cos 2u
----------------
2

tan^2 u

1 - cos 2u
----------------
1+ cos 2u

sin u/2

± √ ( 1 - cos u) / 2

cos u/2

± √ (1 + cos u) /2

tan u/2

sin u
---------
1 + cos u

sum of a geometric series

Sn = a1 ( [1-r^(n-1) / 1-r ] )

sum of infinite geometric series

a1
----
1-r if -1<r<1

sum of an arithmetic series

Sn = n/2 ( 2a1 + (n-1) d )

nth term of a geometric sequence

a n = a1 ( r^(n-1) )

nth term of an arithmetic sequence

a1 + ( n - 1) d

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