Question

Cos3xcos2x-sin3xsin2x=1

Answer 1

Решение задания смотри на фотографии

Answer 2

To solve the equation cos(3x)cos(2x) - sin(3x)sin(2x) = 1, we can use trigonometric identities to simplify the expression. One useful identity is the cosine of the difference of two angles:

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

Let's rewrite the equation using this identity:

cos(3x)cos(2x) - sin(3x)sin(2x) = 1 cos(3x - 2x) = 1 cos(x) = 1

Now, since the range of the cosine function is [-1, 1], the only value of x that satisfies cos(x) = 1 is x = 0. Therefore, the solution to the equation is x = 0.