Question

Cosx-sin11x=0 как решить. решение нужно

Answer 1

По формулам приведения мы знаем , что cosx=sin(90-x)
из этого мы можем решить, cosx-cos(90-11x)= -2cos(Pi/4 -5x)cos(6x-Pi/4)=0
Рассматриваем по отдельности cos(pi/4-5x)=0=>pi/4-5x=Pi/2 + Pk=>x= (-Pi/20) +Pk.          cos(6x-Pi/4)=0=> 6x-pi/4=pi/2 +pk=> x=pi/8 + pk/6

Answer 2

Problem:

We need to solve the equation cos(x) - sin(11x) = 0.

Solution:

To solve this equation, we can use the trigonometric identities and properties of sine and cosine functions. Let's break down the equation and solve it step by step.

1. Start by rewriting the equation as cos(x) = sin(11x).

2. We can use the identity sin(θ) = cos(π/2 - θ) to rewrite the equation as cos(x) = cos(π/2 - 11x).

3. Now, we can equate the angles inside the cosine function: x = π/2 - 11x.

4. Simplify the equation: 12x = π/2.

5. Solve for x: x = π/24.

Therefore, the solution to the equation cos(x) - sin(11x) = 0 is x = π/24.