![]() Let us derive the double angle formula(s) of each of sin, cos, and tan one by one. The double angle formulas of sin, cos, and tan are, Here are the double angle formulas followed by the derivation of each formula. Also, we will derive some alternative formulas are derived using the Pythagorean identities. We will derive the double angle formulas of sin, cos, and tan by substituting A = B in each of the above sum formulas. tan (A + B) = (tan A + tan B) / (1 - tan A tan B).cos (A + B) = cos A cos B - sin A sin B.sin (A + B) = sin A cos B + cos A sin B.Let us recall the sum formulas of trigonometry. The double angle formulas are the special cases of (and hence are derived from) the sum formulas of trigonometry and some alternative formulas are derived by using the Pythagorean identities. ![]() ![]() ![]() Double angle formulas are used to express the trigonometric ratios of double angles (2θ) in terms of trigonometric ratios of single angle (θ). ![]()
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