Question

Sin^4a + sin^2acos^2a-sin^2a

Answer 1

Ответ 0

Решение:

Сократить дробь

(sin(a)^2+cos(a)^2-1)×sin(a)^2

Упростить выражения

(1-1)×sin(a)^2

Сократить противоположное выражения

0sin(a)^2

Вычеслите произведение

ОТВЕТ 0

Answer 2

To simplify the expression, let's break it down step by step:

sin^4a + sin^2a * cos^2a - sin^2a

First, we can see that sin^4a can be rewritten as (sin^2a)^2:

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

Now, let's group the terms involving sin^2a:

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

Next, we can simplify sin^2a^2 to (1 - cos^2a) using the identity sin^2a + cos^2a = 1:

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

Expanding the expression further:

sin^4a + sin^2a * cos^2a - 1 + cos^2a

Finally, combining like terms:

sin^4a + cos^2a * (sin^2a + 1) - 1

The simplified expression is:

sin^4a + cos^2a * (sin^2a + 1) - 1