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| Summary |
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- sin q = 0 Þ q
= np,
n Î Z |
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- tan q = 0 Þ q
= np, n Î Z |
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- If a is some constant angle, then
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- sin q = sin a
Þ q = np + (-1)n
a, n Î Z |
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- cos q = cos a
Þ q = 2np ± a, n Î
Z |
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- tan q = tan a
Þ q = np + a, n
Î Z |
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- If a is some constant angle, then
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- sin2 q = sin2
a Þ q = n p ± a, n Î
Z |
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- cos2 q = cos2
a Þ q = n
p ± a , n
Î Z
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- tan2 q = tan2
a Þ q = n
p ± a , n Î Z |
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- If ABC is a triangle with sides a = BC, b = CA, c = AB, then
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- a = b cos C + c cos B |
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- b = c cos A + a cos C
(Projection formula) |
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- c = a cos B + b cos A |
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| In the principle value branches, the following formulae holds: |
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- sin-1 (sin x) = x |
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- cos-1 (cos x) = x |
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- tan-1 (tan x) = x |
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- cos-1 (cot x) = x |
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- sec-1 (secx) = x |
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- cosec-1 (cosecx) = x |
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- sin-1 (-x) = -sin-1 x |
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- cos-1 (-x) = p - cos-1
x |
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- tan-1 (-x) = -tan-1 x |
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- cot-1 (-x) = p -cot-1
x |
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- sec-1(-x) = p - sec-1
x |
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- cosec-1 (-x) = -cosec-1 x |
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