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AleksAgata [21]
2 years ago
6

Pi/24 is the solution for 4cos2 (4x) - 3 = 0 True or false

Mathematics
2 answers:
inessss [21]2 years ago
5 0

Answer:

True.

Step-by-step explanation:

Given,

4cos2 (4x) - 3 = 0

Now, 4π/24 = π/6

Or, cos π/6 = √3/2

Or, cos^2 π/6 = 3/4

Or, 4 cos^2 π/6 = 3

Now, Left Hand Side= 4cos2 (4x) - 3

                                  = 3-3 =0 = Right Hand Side (Proved)

Here, Left Hand Side= Right Hanad Side. So, 4cos2 (4x) - 3=0 is true.

Lilit [14]2 years ago
4 0

<u>Answer: </u>

True  statement

<u>Explanation:</u>

Given the equation, 4cos^2 (4x)-3= 0

On solving,

4 \cos ^{2}(4 x)=3

\cos ^{2}(4 x)=\frac{3}{4}

Taking square root both sides

We get,

\cos 4 x=\frac{\sqrt{3}}{2}

\frac{\sqrt{3}}{2}=\cos \frac{\pi}{6}

Putting it in the equation

\cos 4 x=\cos \frac{\pi}{6}

4 x=\frac{\pi}{6}

x = π/24

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