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20 Cards in this Set

  • Front
  • Back
sin(x + y)
sin x cos y + cos x sin y
sin(x - y)
sin x cos y - cos x sin y
cos(x + y)
cos x cos y - sin x sin y

note cos comes first and the sign changes
cos(x - y)
cos x cos y + sin x sin y

note cos comes first and the sign changes
tan(x + y)
tan x + tan y
-------------------
1 - tan x tan y

Note: sign on top same,
sign on bottom different
tan(x - y)
tan x - tan y
-------------------
1 + tan x tan y

Note: sign on top same,
sign on bottom different
sin( 2x )
2 sin x cos x
cos( 2x ) regular
cos^2 x - sin^2 x

Note cos comes first
cos ( 2x ) using cos
2 cos^2 x - 1
cos ( 2x ) using sin
1 - sin^2 x
tan( 2x )
2 tan x
-----------
1 - tan^2 x
what is the pythagorean identity that equals 1
sin^2 x + cos^ x
what is the pythagorean identity that equals csc^2 x
1 + cot^2 x = csc^2 x
what is the pythagorean identity that equals sec^2 x
1 + tan^2 x = sec^2 x
name the negative identities that are odd functions
sin (-x) = - sin (x)
csc (-x) = - cos (x)
tan (-x) = - tan (x)
cot (-x) = - cot (x)
name the negative identities that are even functions
cos (-x) = cos(x)
sec (-x) = sec(x)
what is the law of sines
a/sin A = b/sin B = c/sin C
what is the law of cosine
a^2 = b^2 + c^2 - 2bc * cos A
b^2 = a^2 + c^2 - 2ac * cos B
c^2 = a^2 + b^2 - 2ab * cos C
what are the 4 angles of the unit circle with the reference angle of Pi/6
Pi/6, 5Pi/6, 7Pi/6, 11 Pi/6

Remember: 1, 5, 7, 11
what are the 4 angles of the unit circle with the reference angle Pi/3
Pi/3, 2Pi/3, 4Pi/3, 5Pi/3

Remember: 1, 2, 4, 5