Sin6 A -cos 6 A -1-3 Sin2 A cos 2 A

Consider LHS: sin6A+cos6A = (sin2A)3 + (cos2A)3 = (sin2A + cos2A)3 − 3 sin2A cos2A(sin2A + cos2A) [Since, (a+b)3 = a3 + b3 +3ab(a+b)] ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Implicit Differentiation

Sin6 A +cos 6...

Question

Sin⁶A+cos⁶A=1-3Sin²Acos²A

Open in App

Solution

Suggest Corrections

Similar questions

Prove that

sin⁶A + cos⁶ A = 1 - 3 sin² A cos² A

$s i n^{6} A + c o s^{6} A + 3 s i n^{2} A c o s^{2} A =$

{cos}^{6} A - {sin}^{6} A = cos 2 A (1 - \frac{1}{4} {sin}^{2} 2 A)

Prove that sin⁶A+cos⁶A=1-3sin²A .cos ²A

Join BYJU'S Learning Program