Question

sin⁴a+cos⁴a/1-2sin²acos²=1​

Answer 1

Answer:

1

Step-by-step explanation:

sin^4a +cos^4a first take this

It is written as

(sin^2a + cos^2a)^2 - 2sin^2acos^2a

a^2 + b^2 = (a+b)^2 -2ab

sin^2a + cos ^2a = 1

(sin^2a + cos^2a)^2 - 2sin^2acos^2a = 1 - 2sin^2acos^2a

So,

In the equation

sin⁴a+cos⁴a/1-2sin²acos²=1​

Put sin^4a +cos^4a = 1 - 2sin^2acos^2a

1 - 2sin^2acos^2a/1 - 2sin^2acos^2a = 1

Hence Proved

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