The sine of the double angle is equal to twice the product of the sine by the cosine of the single angle The transformation of the double angle (the sine of the double angle, the cosine of the double angle and the tangent of the double angle) into the single angle occurs according to the following rules: If it is necessary to divide the angle in half, or vice versa, go from a double angle to a single angle, we can use the following trigonometric identities: Tangent minus alpha is equal to minus tangent alpha.įormulas for the reduction of the double angle (sine, cosine, tangent and cotangent of the double angle) The cosine of "minus alpha" will give the same value as the cosine of the alpha angle. The sine of the negative angle is equal to the negative value of the sine of the same positive angle (minus the sine alpha). In order to get rid of the negative value of the degree angle measure in calculating the sine, cosine or tangent, we can use the following trigonometric transformations (identities), based on the principles of parity or odd trigonometric functions.Īs you can see, the cosine and secant is an even function, the sine, tangent and cotangent are odd functions. Transformation of the negative angles of trigonometric functions (parity and oddness) The product of the tangent per cotangent of the same angle is one (Formula 7).
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