Trigonometric Identities

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Author:
Anonymous
ID:
24336
Filename:
Trigonometric Identities
Updated:
2010-06-20 22:11:26
Tags:
trigonometry identities trigonometric identities
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Description:
list of trigonometric identities
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  1. reciprocal of sin x
    1/csc x
  2. reciprocal of cos x
    1/sec x
  3. reciprocal of tan x
    1/cot x
  4. reciprocal of csc x
    1/sin x
  5. reciprocal of sec x
    1/cos x
  6. reciprocal of cot x
    1/tan x
  7. pythagorean identities
    • sin2x + cos2x = 1
    • 1 + tan2x = sec2x
    • 1 = cot2x = csc2x
  8. quotient identity
    • tan x = sin x/cos x
    • cot x = cos x/sin x
  9. sum-difference formulas
    • sin (x +/- u) = sin x cos u +/- cos x sin u
    • cos (x +/- u) = cos x cos u -/+ sin x sin u
    • tan (x +/- u) = (tan x +/- tan u)/(1 -/+ tan x tan u)
  10. double angle formulas
    • sin(2x) = 2sin x cos x
    • cos(2x) = cos2x - sin2x = 2cos2x - 1 = 1 - 2sin2x
    • tan(2x) = (2tan x) /(1 - tan2 x)

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