Question

NEED SOME HELP.. IDENTITIES

Answer 1

An identity is where A=B. Meaning some equation, A, is going to equal the other equation, B.

Example:
2+2=3+1
Both sides equal 4. This is an identity.

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Answer 2

thank you, do you know how to solve this?

cos^4(2x)+sin^2(2x)=cos^2(2x)+sin^4(2x)

Answer 3

Recall that sin(2x) = 2*sin(x)*cos(x). Squaring both sides of the identity, we get sin²(2x) = 4*sin²(x)*cos²(x).

Also recall that identity sin²(2x) + cos²(2x) = 1.

Simplifying the LHS of the equation:

1 - 4*sin²(x)*cos²(x) = 1 - sin²(2x) = cos²(2x)

Identity proved.


I know its a bit confusing, but this is the answer.
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Answer 4

thank you