Question

Sin a - sin a cos^2a

Answer 1

Ответ:

sin a - sin a cos ^2 a = sin a (1-cos ^2 a) = sin a * sin ^2 a = sin ^3 a

Answer 2

Решение задания прилагаю

Answer 3

Let's simplify the expression step by step:

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

Step 1: Rewrite cos^2(a) as (1 - sin^2(a)). This is based on the trigonometric identity: cos^2(a) = 1 - sin^2(a).

sin(a) - sin(a)(1 - sin^2(a))

Step 2: Distribute the sin(a) term to both terms inside the parentheses.

sin(a) - sin(a) + sin^3(a)

Step 3: Combine like terms.

0 + sin^3(a)

The simplified expression is sin^3(a).