Question

Cos3xcos2x-sin3xsin2x=-0.5 помогите срочно надо

Answer 1

НУ ТЫ ЗАГНУЛ ЧЮВАК ок щя дам рещение

Answer 2

Solving Trigonometric Equation

To solve the trigonometric equation cos(3x)cos(2x) - sin(3x)sin(2x) = -0.5, we can use the trigonometric identity for the cosine of the difference of two angles:

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

We can rewrite the given equation using this identity and then solve for x.

Applying Trigonometric Identity

Using the identity cos(A - B) = cos(A)cos(B) + sin(A)sin(B), we can rewrite the equation as:

cos(3x - 2x) = -0.5

Simplifying, we get:

cos(x) = -0.5

Finding the Solution

To find the solutions for x, we need to find the angles whose cosine is -0.5.

The angle whose cosine is -0.5 is 2π/3. Therefore, the solutions for x are:

x = 2π/3 + 2nπ and x = 4π/3 + 2nπ, where n is an integer.

So, the general solution for the equation cos(3x)cos(2x) - sin(3x)sin(2x) = -0.5 is:

x = (2π/3) + 2nπ and x = (4π/3) + 2nπ, where n is an integer.

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.