Question

show that :( given in the picture )​

Answer 1

Step-by-step explanation:

Here

We use the identity

A3+b3= (a+b) (a2+b2-ab)

First we write sinx6+cosx6 as sinx2^3+cosx2^3

Then we use the identity above

It becomes sinx4+cosx4-sinx2cosx2

Then multiple - 2 in this as shown in figure, on solving it becomes

(sinx2+cosx2) ^2 which is equal to 1

And hence it is independent of x

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