Article proofs | Trigonometry

Proofs of trigonometric identities

There are several equivalent ways for defining trigonometric functions, and the proof of the trigonometric identities between them depend on the chosen definition. The oldest and somehow the most elementary definition is based on the geometry of right triangles. The proofs given in this article use this definition, and thus apply to non-negative angles not greater than a right angle. For greater and negative angles, see Trigonometric functions. Other definitions, and therefore other proofs are based on the Taylor series of sine and cosine, or on the differential equation to which they are solutions. (Wikipedia).

Proofs of trigonometric identities
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From playlist Verify Trigonometric Identities

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πŸ‘‰ Learn how to verify trigonometric identities by expanding the trigonometric expressions. When the given trigonometric expressions involve multiplications with more than one term in parenthesis, we start by expanding the expressions using the distributive property. After we have expande

From playlist Verify Trigonometric Identities

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πŸ‘‰ Learn how to verify trigonometric identities by expanding the trigonometric expressions. When the given trigonometric expressions involve multiplications with more than one term in parenthesis, we start by expanding the expressions using the distributive property. After we have expande

From playlist Verify Trigonometric Identities

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Verifying a trigonometric Identities

πŸ‘‰ Learn how to verify trigonometric identities by expanding the trigonometric expressions. When the given trigonometric expressions involve multiplications with more than one term in parenthesis, we start by expanding the expressions using the distributive property. After we have expande

From playlist Verify Trigonometric Identities

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From playlist Verify Trigonometric Identities

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Related pages

Differential equation | Table of Newtonian series | Unit vector | Right triangle | Derivative | Angle | Differentiable function | Madhava's sine table | Pythagorean theorem | Jordan measure | Arc length | Euler's formula | List of trigonometric identities | E. T. Whittaker | G. N. Watson | Real number | Right angle | Taylor series | A Course of Modern Analysis | Cosine | Madhava series | Trigonometric functions | Bhaskara I's sine approximation formula