We will learn how to express the multiple angle of cos 2A in terms of tan A.
Trigonometric function of cos 2A in terms of tan A is also known as one of the double angle formula.
We know if A is a number or angle then we have,
cos 2A = cos^{2} A - sin^{2} A
cos 2A = \(\frac{cos^{2} A - sin^{2} A}{cos^{2} A}\) ∙ cos^{2} A
⇒ cos 2A = cos^{2} A (1 - tan^{2} A)
⇒ cos 2A = \(\frac{1}{sec^{2} A}\)(1 - tan^{2} A)
⇒ cos 2A = \(\frac{1 - tan^{2} A}{1 + tan^{2} A}\)
11 and 12 Grade Math
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