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129 |
UseTrigHalfIdentities |
Use the trigonometric half angle identities: $\sin\frac{\theta}{2} = \pm\sqrt{\frac{1 - \cos\theta}{2}}$, $\cos\frac{\theta}{2} = \pm\sqrt{\frac{1 + \cos\theta}{2}}$ |
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131 |
UseTrigProdToSumIdentities |
Use the trigonometric product-to-sum identities: $\sin\alpha\cos\beta = \frac{1}{2}[\sin(\alpha+\beta) + \sin(\alpha-\beta)]$, $\cos\alpha\cos\beta = \frac{1}{2}[\cos(\alpha+\beta) + \cos(\alpha-\beta)]$ |
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126 |
UseTrigPythIdentities |
Use the trigonometric Pythagorean identities: $\sin^2\theta + \cos^2\theta = 1$, $1 + \tan^2\theta = \sec^2\theta$, $1 + \cot^2\theta = \csc^2\theta$ |
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127 |
UseTrigSumDiffIdentities |
Use the trigonometric angle sum and difference identities: $\sin(\alpha \pm \beta) = \sin\alpha\cos\beta \pm \cos\alpha\sin\beta$, $\cos(\alpha \pm \beta) = \cos\alpha\cos\beta \mp \sin\alpha\sin\beta$, $\tan(\alpha \pm \beta) = \frac{\tan\alpha \pm \tan\beta}{1 \mp \tan\alpha\tan\beta}$ |
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130 |
UseTrigSumToProdIdentities |
Use the trigonometric sum-to-product identities: $\sin\alpha + \sin\beta = 2\sin\frac{\alpha+\beta}{2}\cos\frac{\alpha-\beta}{2}$, $\cos\alpha + \cos\beta = 2\cos\frac{\alpha+\beta}{2}\cos\frac{\alpha-\beta}{2}$ |
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