Question

(1-cos a)(1+cos(-a))

Answer 1

Ответ: Всё в фото

Пошаговое объяснение:

Answer 2

Let's simplify the expression step by step:

(1 - cos(a))(1 + cos(-a))

First, let's use the trigonometric identity: cos(-a) = cos(a)

(1 - cos(a))(1 + cos(a))

Now, let's apply the distributive property (FOIL method):

1 * 1 + 1 * cos(a) - cos(a) * 1 - cos(a) * cos(a)

Simplify the terms:

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

Notice that the two middle terms (-cos(a) and +cos(a)) cancel each other out:

1 - cos^2(a)

Now, use the trigonometric identity: 1 - cos^2(a) = sin^2(a)

So, the simplified expression is:

sin^2(a)