What is the value of C? 14 = -2c - 6 -3c - id142637839457 от Hannahgrace1941 03.07.2021 11:47

Question

Mathematics: What is the value of C? 14 = -2c - 6 -3c

Hannahgrace1941 · Accepted Answer

9514 1404 393

x ∈ {{0.30773985, 1.26305647, 1.87853618, 2.83385280, 3.44933251, 4.40464913, 5.02012883, 5.97544545}

Step-by-step explanation:

Divide by the coefficient of the sine function, take the root, then use the arcsine function to find the angles.

$3\sin^2(2x)=1\\\\\sin^2(2x)=\dfrac{1}{3}\\\\ \sin(2x)=\pm\sqrt{\dfrac{1}{3}}\\\\2x=\pm\arcsin\left(\dfrac{\sqrt{3}}{3}\right)+n\pi\\\\x=\dfrac{\pm\arcsin\left(\dfrac{\sqrt{3}}{3}\right)+n\pi}{2}$

The numerical values are approximately ...

x ∈ {{0.30773985, 1.26305647, 1.87853618, 2.83385280, 3.44933251, 4.40464913, 5.02012883, 5.97544545}

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The graph shows the zeros of 3sin²(2x) -1.

Can someone solve this, please? when x€[0,2pi]

What is the value of C? 14 = -2c - 6 -3c

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