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Trigonometry Formula Sheet General Chemistry I (CHEM 1311) Amanda Campbell

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Right Triangle Trigonometry sinπœƒ=π‘œπ‘π‘β„Žπ‘¦π‘ cscπœƒ=β„Žπ‘¦π‘π‘œπ‘π‘ cosπœƒ=π‘Žπ‘‘π‘—β„Žπ‘¦π‘ secπœƒ=β„Žπ‘¦π‘π‘Žπ‘‘π‘— tanπœƒ=π‘œπ‘π‘π‘Žπ‘‘π‘— cotπœƒ=π‘Žπ‘‘π‘—π‘œπ‘π‘ Unit Circle Trigonometry sinπœƒ=π‘¦π‘Ÿ=𝑦1 cscπœƒ=π‘Ÿπ‘¦=1𝑦 cosπœƒ=π‘₯π‘Ÿ=π‘₯1 secπœƒ=π‘Ÿπ‘₯=1π‘₯ tanπœƒ=𝑦π‘₯ cotπœƒ=π‘₯𝑦 Degrees to Radians (π‘₯Β°1)Γ—( πœ‹180Β°)=π‘Ÿπ‘Žπ‘‘π‘–π‘Žπ‘› π‘šπ‘’π‘Žπ‘ π‘’π‘Ÿπ‘’ Radians to Degrees (π‘₯πœ‹1)Γ—(180Β°πœ‹)=π‘‘π‘’π‘”π‘Ÿπ‘’π‘’ π‘šπ‘’π‘Žπ‘ π‘’π‘Ÿπ‘’ Tangent & Cotangent Identities tanπœƒ=sinπœƒcosπœƒ cotπœƒ=cosπœƒsinπœƒ Reciprocal Identities sinπœƒ= 1cscπœƒ cscπœƒ= 1sinπœƒ cosπœƒ= 1secπœƒ secπœƒ= 1cosπœƒ tanπœƒ= 1cotπœƒ cotπœƒ= 1tanπœƒ Pythagorean Identities sin2πœƒ+cos2πœƒ=1 tan2πœƒ+1=sec2πœƒ 1+cot2πœƒ=csc2πœƒ Cofunction Formulas sin(πœ‹2βˆ’πœƒ)=cosπœƒ cos(πœ‹2βˆ’πœƒ)=sinπœƒ csc(πœ‹2βˆ’πœƒ)=secπœƒ sec(πœ‹2βˆ’πœƒ)=cscπœƒ tan(πœ‹2βˆ’πœƒ)=cotπœƒ cot(πœ‹2βˆ’πœƒ)=tanπœƒ Definition of Inverse Functions πœƒ=sinβˆ’1(π‘₯) is equal to π‘₯=sinπœƒ πœƒ=cosβˆ’1(π‘₯) is equal to π‘₯=cosπœƒ πœƒ=tanβˆ’1(π‘₯) is equal to π‘₯=tanπœƒ Other Notations sinβˆ’1(π‘₯)=arcsin(π‘₯) cosβˆ’1(π‘₯)=arccos(π‘₯

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Trigonometry Formula Sheet General Chemistry I (CHEM 1311) Amanda Campbell

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