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20 Cards in this Set
- Front
- Back
sin(x + y)
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sin x cos y + cos x sin y
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sin(x - y)
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sin x cos y - cos x sin y
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cos(x + y)
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cos x cos y - sin x sin y
note cos comes first and the sign changes |
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cos(x - y)
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cos x cos y + sin x sin y
note cos comes first and the sign changes |
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tan(x + y)
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tan x + tan y
------------------- 1 - tan x tan y Note: sign on top same, sign on bottom different |
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tan(x - y)
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tan x - tan y
------------------- 1 + tan x tan y Note: sign on top same, sign on bottom different |
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sin( 2x )
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2 sin x cos x
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cos( 2x ) regular
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cos^2 x - sin^2 x
Note cos comes first |
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cos ( 2x ) using cos
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2 cos^2 x - 1
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cos ( 2x ) using sin
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1 - sin^2 x
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tan( 2x )
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2 tan x
----------- 1 - tan^2 x |
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what is the pythagorean identity that equals 1
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sin^2 x + cos^ x
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what is the pythagorean identity that equals csc^2 x
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1 + cot^2 x = csc^2 x
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what is the pythagorean identity that equals sec^2 x
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1 + tan^2 x = sec^2 x
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name the negative identities that are odd functions
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sin (-x) = - sin (x)
csc (-x) = - cos (x) tan (-x) = - tan (x) cot (-x) = - cot (x) |
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name the negative identities that are even functions
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cos (-x) = cos(x)
sec (-x) = sec(x) |
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what is the law of sines
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a/sin A = b/sin B = c/sin C
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what is the law of cosine
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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 |
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what are the 4 angles of the unit circle with the reference angle of Pi/6
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Pi/6, 5Pi/6, 7Pi/6, 11 Pi/6
Remember: 1, 5, 7, 11 |
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what are the 4 angles of the unit circle with the reference angle Pi/3
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Pi/3, 2Pi/3, 4Pi/3, 5Pi/3
Remember: 1, 2, 4, 5 |