User:Sagie/sandbox/Trigo
Appearance
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Trigonometric functions[edit]
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Symmetry, shifts, and periodicity[edit]
Reflected with | Reflected with (co-function identities) |
Reflected with | Shift by | Shift by Period for tan and cot |
Shift by Period for sin, cos, csc and sec |
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Angle sum and difference identities[edit]
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Multiple-angle formulae[edit]
Double-angle formulae | |||
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Triple-angle formulae | |||
Half-angle formulae | |||
Sine, cosine, and tangent of multiple angles[edit]
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Power-reduction formula[edit]
Sine | Cosine | |
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Cosine | Sine | |
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Product-to-sum and sum-to-product identities[edit]
Product-to-sum |
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Sum-to-product |
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Linear combinations[edit]
- , where and .
- , where and .
Other sums of trigonometric functions[edit]
Inverse trigonometric functions[edit]
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Complex exponentials[edit]
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Infinite product formulae[edit]
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Calculus[edit]
Limits[edit]
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Derivatives[edit]
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Integrals[edit]
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Tangent half-angle substitution[edit]
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Phasor arithmetic[edit]
- Definition:
- Derivative:
- where: and .