Derivations of Trigonometric Formulae

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1 - Prove Cos2 A + Sin2A = 1

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2 - Prove a/SinA = b/SinB = c/SinC,

when given a general triangle

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Trigonometry

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8 Terms

1
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1 - Prove Cos2 A + Sin2A = 1

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2
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2 - Prove a/SinA = b/SinB = c/SinC,

when given a general triangle

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3
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2 - Prove a/SinA = b/SinB = c/SinC

when given an obtuse-angled triangle

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4
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When SinA = SinB,

what do the angles add up to?

when Sin of an angle is equal to Sin of an angle, the angles add up to 180o

Sin108o = Sin72o

5
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When CosA = SinB,

what do the angles add up to?

when Cos of an angle is equal to Sin of an angle, the angles add up to 90o

Cos60o = Sin30o

6
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When CosA = - CosB,

what do the angles add up to?

when Cos of an angle is equal to negative Cos of an angle, the angles add up to 180o

Cos100o = - Cos80o

7
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3 - Prove a2 = b2 + c2 -2bcCosA

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8
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4 - Prove Cos(A-B) = CosACosB + SinASinB

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