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reciprocal of sin x
1/csc x
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reciprocal of cos x
1/sec x
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reciprocal of tan x
1/cot x
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reciprocal of csc x
1/sin x
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reciprocal of sec x
1/cos x
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reciprocal of cot x
1/tan x
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pythagorean identities
- sin2x + cos2x = 1
- 1 + tan2x = sec2x
- 1 = cot2x = csc2x
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quotient identity
- tan x = sin x/cos x
- cot x = cos x/sin x
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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)
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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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