Question

Sin^2a-sin^2a*cos^2a. спростити вираз

Answer 1

sin(2a)-sin(2a)*cos(2a)

1)sin(2a)*(1-cos(2a))

2)sin(2a)*2 sin(a в квадрате^2)

Ответ: 2sin(2a)sin(a в квадрате^2)

Answer 2

Simplifying the Expression sin^2a - sin^2a * cos^2a

To simplify the expression sin^2a - sin^2a * cos^2a, we can factor out sin^2a as a common factor:

sin^2a - sin^2a * cos^2a = sin^2a * (1 - cos^2a)

Now, we can use the trigonometric identity sin^2a + cos^2a = 1 to simplify further:

sin^2a * (1 - cos^2a) = sin^2a * sin^2a = (sin^2a)^2

Therefore, the simplified expression is (sin^2a)^2.

Please let me know if you need any further assistance!