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Calculus Review of Trigonometric Identities

15

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sin⁡2(x)+cos⁡2(x)\sin^2(x) + \cos^2(x)

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11

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1+tan⁡2(x)1 + \tan^2(x)

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sec⁡2(x)\sec^2(x)

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cos⁡2(x)−sin⁡2(x)\cos^2(x) - \sin^2(x)

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cos⁡(2x)\cos(2x)

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tan⁡(x)⋅cot⁡(x)\tan(x) \cdot \cot(x)

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11

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1−sin⁡(x)cos⁡(x)\frac{1 - \sin(x)}{\cos(x)}

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cos⁡2(x)cos⁡(x)\frac{\cos^2(x)}{\cos(x)}

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cos⁡(x)(sec⁡(x)−1)\cos(x)\left(\sec(x) - 1\right)

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1−cos⁡(x)1 - \cos(x)

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sin⁡(x)÷csc⁡(x)\sin(x) \div \csc(x)

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11

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1+cot⁡2(x)1 + \cot^2(x)

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csc⁡2(x)\csc^2(x)

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sin⁡(x)cos⁡(x)\sin(x) \cos(x)

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12sin⁡(2x)\frac{1}{2}\sin(2x)

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tan⁡(x)+cot⁡(x)\tan(x) + \cot(x)

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sin⁡2(x)+cos⁡2(x)sin⁡(x)cos⁡(x)\frac{\sin^2(x) + \cos^2(x)}{\sin(x)\cos(x)}

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sin⁡2(x)−cos⁡2(x)\sin^2(x) - \cos^2(x)

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−cos⁡(2x)-\cos(2x)

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sin⁡(x)−sin⁡(x)cos⁡2(x)\sin(x) - \sin(x)\cos^2(x)

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sin⁡(x)(1−cos⁡2(x))\sin(x)(1 - \cos^2(x))

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csc⁡(x)−sin⁡(x)\csc(x) - \sin(x)

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csc⁡(x)(1−sin⁡(x))\csc(x)(1 - \sin(x))

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sec⁡2(x)−tan⁡2(x)\sec^2(x) - \tan^2(x)

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11

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2sin⁡(x)cos⁡(x)2\sin(x)\cos(x)

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sin⁡(2x)\sin(2x)

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