Question

show that cos ^4 A + SIN ^4 A + 2 SIN ^ 2 . COS ^ 2 A= 1​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

Taking LHS = cos4 A + sin4 A + 2 sin2 A cos2 A.

Using the identity,(a + b)2 = (a2 + b2 + 2ab)

Here, a = cos2 A and b = sin2 A.

= ( cos2 A + sin2 A) [∵ cos2 θ + sin2 θ = 1]

= 1.