Question

Sin^2t-cos^2t=============

Answer 1

$sin^2t-cos^2t=-(cos^2t-sin^2t)=-cos2t$

Answer 2

The expression you provided, "sin^2t - cos^2t", is a trigonometric expression involving the sine and cosine functions raised to the power of 2. Let's simplify this expression:

sin^2(t) - cos^2(t)

Using a trigonometric identity, specifically the Pythagorean identity, we know that:

sin^2(t) + cos^2(t) = 1

Therefore, we can rearrange the above identity to solve for sin^2(t):

sin^2(t) = 1 - cos^2(t)

Now, substitute this value into the original expression:

sin^2(t) - cos^2(t) = (1 - cos^2(t)) - cos^2(t) = 1 - 2cos^2(t)

So, the simplified form of the expression "sin^2t - cos^2t" is "1 - 2cos^2t".