Question

Show that `cos^(4)A-Sin^(4)A=1-2Sin^(2)A​

Answer 1

Answer:

We, have

LHS = sin

4

A + cos

4

A

⇒ LHS = (sin

2

A)

2

+(cos

2

A)

2

+2sin

2

Acos

2

A−2sin

2

Acos

2

A [Adding and subtracting 2 sin

2

A cos

2

A ]

⇒ LHS = (sin

2

A+cos

2

A)

2

−2sin

2

Acos

2

A=1−2sin

2

Acos

2

A=RHS

Answer 2

Answer:

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