Cos 4 A -sin 4 A is equal toa 2 cos 2 A-1b 2 cos 2 A -1c 2 sin 2 A -1d 2 sin 2 A -1

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Introduction to Trigonometry

cos 4 A -sin ...

Question

cos⁴ A − sin⁴ A is equal to

(a) 2 cos² A + 1
(b) 2 cos² A − 1
(c) 2 sin² A − 1
(d) 2 sin² A + 1

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[cos⁴ A - sin⁴A] is equal to:

\frac{(1 - 2 {sin}^{2} A)}{{cos}^{4} A - {sin}^{4} A} = 2 {cos}^{2} A - 1

{sin}^{4} A - {cos}^{4} A = {sin}^{2} A - {cos}^{2} A = 2 {sin}^{2} A - 1 = 1 - 2 {cos}^{2} A

{cos}^{4} A - {sin}^{4} A + 1 - 2 {cos}^{2} A

s i n^{4} A - c o s^{4} A = 2 s i n^{2} A - 1

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