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About 8 results
  • 8.3: Sum and Difference Identities
    https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/MAT_206.5/08%3A_Trigonometric_Identities_and_Equations/8.03%3A_Sum_and_Difference_Identities
    The sum formula for cosines states that the cosine of the sum of two angles equals the product of the cosines of the angles minus the product of the sines of the angles. The difference formula for cos...The sum formula for cosines states that the cosine of the sum of two angles equals the product of the cosines of the angles minus the product of the sines of the angles. The difference formula for cosines states that the cosine of the difference of two angles equals the product of the cosines of the angles plus the product of the sines of the angles. The sum and difference formulas can be used to find the exact values of the sine, cosine, or tangent of an angle.
  • 3.2: Sum and Difference Identities
    https://math.libretexts.org/Courses/Reedley_College/Trigonometry/03%3A_Trigonometric_Identities_and_Equations/3.02%3A_Sum_and_Difference_Identities
    The sum formula for cosines states that the cosine of the sum of two angles equals the product of the cosines of the angles minus the product of the sines of the angles. The difference formula for cos...The sum formula for cosines states that the cosine of the sum of two angles equals the product of the cosines of the angles minus the product of the sines of the angles. The difference formula for cosines states that the cosine of the difference of two angles equals the product of the cosines of the angles plus the product of the sines of the angles. The sum and difference formulas can be used to find the exact values of the sine, cosine, or tangent of an angle.
  • 9.2: Sum and Difference Identities
    https://math.libretexts.org/Bookshelves/Algebra/Algebra_and_Trigonometry_1e_(OpenStax)/09%3A_Trigonometric_Identities_and_Equations/9.02%3A_Sum_and_Difference_Identities
    The sum formula for cosines states that the cosine of the sum of two angles equals the product of the cosines of the angles minus the product of the sines of the angles. The difference formula for cos...The sum formula for cosines states that the cosine of the sum of two angles equals the product of the cosines of the angles minus the product of the sines of the angles. The difference formula for cosines states that the cosine of the difference of two angles equals the product of the cosines of the angles plus the product of the sines of the angles. The sum and difference formulas can be used to find the exact values of the sine, cosine, or tangent of an angle.
  • 7.2: Sum and Difference Identities
    https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/Professor's_Playground/MAT_206.5_Intermediate_Algebra_and_Precalculus_alpha/7%3A_Trigonometric_Identities_and_Equations/7.2%3A_Sum_and_Difference_Identities
    The sum formula for cosines states that the cosine of the sum of two angles equals the product of the cosines of the angles minus the product of the sines of the angles. The difference formula for cos...The sum formula for cosines states that the cosine of the sum of two angles equals the product of the cosines of the angles minus the product of the sines of the angles. The difference formula for cosines states that the cosine of the difference of two angles equals the product of the cosines of the angles plus the product of the sines of the angles. The sum and difference formulas can be used to find the exact values of the sine, cosine, or tangent of an angle.
  • 3.4: Sum and Difference Identities
    https://math.libretexts.org/Courses/Rio_Hondo/Math_175%3A_Plane_Trigonometry/03%3A_Trigonometric_Identities_and_Equations/3.04%3A_Sum_and_Difference_Identities
    \[\begin{align*} \dfrac{\sin(\alpha-\beta)}{\cos \alpha \cos \beta}&= \dfrac{\sin \alpha \cos \beta-\cos \alpha \sin \beta}{\cos \alpha \cos \beta}\\[4pt] &= \dfrac{\sin \alpha \cos \beta}{\cos \alpha...sin(α−β)cosαcosβ=sinαcosβ−cosαsinβcosαcosβ=sinαcosβcosαcosβ−cosαsinβcosαcosβRewrite using a common denominator=sinαcosα−sinβcosβCancel=tanα−tanβRewrite in terms of tangent
  • 9.3: Sum and Difference Identities
    https://math.libretexts.org/Workbench/Algebra_and_Trigonometry_2e_(OpenStax)/09%3A_Trigonometric_Identities_and_Equations/9.03%3A_Sum_and_Difference_Identities
    The sum formula for cosines states that the cosine of the sum of two angles equals the product of the cosines of the angles minus the product of the sines of the angles. The difference formula for cos...The sum formula for cosines states that the cosine of the sum of two angles equals the product of the cosines of the angles minus the product of the sines of the angles. The difference formula for cosines states that the cosine of the difference of two angles equals the product of the cosines of the angles plus the product of the sines of the angles. The sum and difference formulas can be used to find the exact values of the sine, cosine, or tangent of an angle.
  • 9.2: Sum and Difference Identities
    https://math.libretexts.org/Courses/Prince_Georges_Community_College/MAT_1350%3A_Precalculus_Part_I/09%3A_Trigonometric_Identities_and_Equations/9.02%3A_Sum_and_Difference_Identities
    The sum formula for cosines states that the cosine of the sum of two angles equals the product of the cosines of the angles minus the product of the sines of the angles. The difference formula for cos...The sum formula for cosines states that the cosine of the sum of two angles equals the product of the cosines of the angles minus the product of the sines of the angles. The difference formula for cosines states that the cosine of the difference of two angles equals the product of the cosines of the angles plus the product of the sines of the angles. The sum and difference formulas can be used to find the exact values of the sine, cosine, or tangent of an angle.
  • 7.2: Sum and Difference Identities
    https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/MAT_206_Precalculus/7%3A_Trigonometric_Identities_and_Equations/7.2%3A_Sum_and_Difference_Identities
    The sum formula for cosines states that the cosine of the sum of two angles equals the product of the cosines of the angles minus the product of the sines of the angles. The difference formula for cos...The sum formula for cosines states that the cosine of the sum of two angles equals the product of the cosines of the angles minus the product of the sines of the angles. The difference formula for cosines states that the cosine of the difference of two angles equals the product of the cosines of the angles plus the product of the sines of the angles. The sum and difference formulas can be used to find the exact values of the sine, cosine, or tangent of an angle.

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