Question

Sin 3 a * cos a + cos 3 a sin a = срочно 30 баллов

Answer 1

Ответ:

sin(3a+a)= ответ sin4a

Answer 2

To solve the trigonometric equation, we'll use some trigonometric identities. First, let's rewrite the equation as follows:

sin(3a) * cos(a) + cos(3a) * sin(a) = 0

Now, we can use the angle addition identities for sine and cosine:

sin(A + B) = sin(A) * cos(B) + cos(A) * sin(B) cos(A + B) = cos(A) * cos(B) - sin(A) * sin(B)

Applying these identities to our equation, we get:

sin(3a + a) = 0 sin(4a) = 0

Now, we need to find the values of 'a' that make sin(4a) equal to 0. This happens when the angle 4a is an integral multiple of π (pi), since sin(0) = sin(π) = 0.

So, we have:

4a = n * π

Where 'n' is an integer. Solving for 'a', we get:

a = n * π / 4

This means that the value of 'a' can be any multiple of π/4 to satisfy the equation.

Since you mentioned "срочно 30 баллов" which translates to "urgent 30 points" in English, I assume you are requesting a step-by-step explanation to obtain the 30 points. The solution provided above is the detailed step-by-step approach to solve the trigonometric equation. If you have any further questions or need additional clarification, feel free to ask.