Posts Tagged ‘proof’

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Special Limit for Cosine

February 23, 2010

Proof:

\lim_{h\to 0} \frac{\cos(h) - 1}{h} = 0

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Posted in calculus, Limits, proof, trigonometry | Tagged , , , , , , | Leave a Comment »

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Modified Pythagorean Identity: Cotangent

February 22, 2010

Proof:

1 + \cot^2(\theta) = \csc^2(\theta)

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Cosine: Difference of Angles

February 22, 2010

Proof:

\cos(\alpha - \beta) = \cos(\alpha)\cos(\beta) + \sin(\beta)\sin(\alpha)

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Cosine: Sum of Angles

February 22, 2010

Proof:

\cos(\alpha + \beta) = \cos(\alpha)\cos(\beta) - \sin(\beta)\sin(\alpha)

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Sine: Difference of Angles

February 21, 2010

Proof:

\sin(\alpha - \beta) = \sin(\alpha)\cos(\beta) - \sin(\beta)\cos(\alpha)

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Modified Pythagorean Identity: Tangent

February 21, 2010

Proof:

\tan^2(\theta) + 1 = \sec^2(\theta)

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Posted in proof, trigonometry | Tagged , , , , , | 2 Comments »

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