Question

Prove that:
2sin2 A+ cos4 A = 1 + sin4 A
​

Answer 1

Answer:

Hey! This maybe helpful to you

Step-by-step explanation:

LHS = 2 sin^2A + cos^4 A

= 2 sin^2 A + (cos^2 A)^2

= 2 sin^2 A + (1 - sin^2 A)^2

= 2 sin^2 A + 1 - 2sin^2 A + sin^4A

= 1 + sin^4 A

= RHS.

Proved.

Hope it helps you.....

Answer 2

Answer:

Hey! This maybe helpful to you

Step-by-step explanation:

LHS = 2 sin^2A + cos^4 A

= 2 sin^2 A + (cos^2 A)^2

= 2 sin^2 A + (1 - sin^2 A)^2

= 2 sin^2 A + 1 - 2sin^2 A + sin^4A

= 1 + sin^4 A

= RHS.

Hence proved.

Thank you...