Trigonometry - Addition and Subtraction Formulas - Double Angle Formulas - Multiple Angle Formulas - Half Angle Formulas

Rabu, 29 April 2020

Addition and Subtraction Formulas

• sin (α + β) = sin α cos β + sin β cos α
• sin (α – β) = sin α cos β – sin β cos α
• cos (α + β) = cos α cos β – sin α sin β
• cos (α – β) = cos α cos β + sin α sin β

Double Angle Formulas

Multiple Angle Formulas

• sin 3α = 3 sin α – 4 sin³ α = 3 cos² α · sin α – sin³ α
• sin 4α = 4 sin α · cos α – 8 sin³ · cos α
• sin 5α = 5 sin α – 20 sin³ α + 16 sin⁵ α
• cos 3α = 4 cos³ α – 3 cos α = cos³ α – 3 cos α · sin² α
• cos 4α = 8 cos⁴ α – 8 cos² α + 1
• cos 5α = 16 cos⁵ α – 20 cos³ α + 5 cos α

Half Angle Formulas

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Labels: Mathematician

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