Question

Sin2a+sinacosa+cos2a-1​

Answer 1

Sin2a+sinacosa+cos2a-1=2sinacosa+sinacosa+cos^2a-sin^2a-cos^2a-sin^2a=3sinacosa-2sin^2a

Answer 2

To simplify the expression "sin^2(a) + sin(a)cos(a) + cos^2(a) - 1," we can use trigonometric identities. One of the well-known identities is the Pythagorean identity, which states that:

sin^2(a) + cos^2(a) = 1.

Using this identity, we can rewrite the expression as follows:

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

So, the simplified form of the expression is sin(a)cos(a).