Question

Sin2a-cos2a /1+2sina*cosa

Answer 1

1) Упростить выражение:

$\frac{ \sin(2a) - \cos(2a) }{1 + \sin(2a) }$

Answer 2

To simplify the expression (sin^2a - cos^2a) / (1 + 2sin(a)*cos(a)), we can use trigonometric identities to transform the terms into more manageable forms.

Step 1: Apply the identity sin^2(a) - cos^2(a) = -cos(2a). Step 2: Apply the identity 2sin(a)*cos(a) = sin(2a).

After applying the trigonometric identities, the expression becomes:

(-cos(2a)) / (1 + sin(2a))

This is the simplified form of the given expression.