Question

9SIN COSX - 7 COSквадрат X= 2SIN(квадрат)Х

Answer 1

Ответ:

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Пошаговое объяснение:

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Answer 2

To solve the equation:

9sin(x)cos(x) - 7cos^2(x) = 2sin^2(x)

We can start by using trigonometric identities to simplify it. One of the useful identities in this case is:

sin^2(x) + cos^2(x) = 1

Now, we can rewrite the equation using this identity:

9sin(x)cos(x) - 7(1 - sin^2(x)) = 2sin^2(x)

Let's continue simplifying:

9sin(x)cos(x) - 7 + 7sin^2(x) = 2sin^2(x)

Now, we'll move all terms to one side of the equation to set it to zero:

9sin(x)cos(x) - 7 + 7sin^2(x) - 2sin^2(x) = 0

7sin^2(x) - 2sin^2(x) + 9sin(x)cos(x) - 7 = 0

Combine like terms:

5sin^2(x) + 9sin(x)cos(x) - 7 = 0

Now, you have a quadratic equation in terms of sin(x). You can solve it using the quadratic formula:

sin(x) = (-B ± √(B^2 - 4AC)) / (2A)

Where A = 5, B = 9cos(x), and C = -7.

Now, plug these values into the quadratic formula and solve for sin(x). Keep in mind that the solutions may involve trigonometric functions, and there may be multiple solutions depending on the value of cos(x).