Question

Sin25,25pi как решить

Answer 1

$sin\, 25,25\pi =sin\, 25\frac{1}{4}\pi =sin(24\pi +\pi +\frac{\pi}{4})=\\\\=sin(\pi +\frac{\pi}{4})=-sin\frac{\pi}{4}=-\frac{\sqrt2}{2}$

Answer 2

Solving sin(25.25π)

To solve the equation sin(25.25π), we need to find the value of the sine function at the given angle.

The angle 25.25π is in radians. To convert it to degrees, we can use the fact that π radians is equal to 180 degrees. Therefore, we have:

25.25π radians = 25.25π * (180 degrees / π radians) = 25.25 * 180 degrees ≈ 4545 degrees.

Now, we can find the value of sin(4545 degrees). However, it's important to note that the sine function is periodic with a period of 360 degrees. This means that sin(x) = sin(x + 360 degrees) for any angle x.

Since 4545 degrees is much larger than 360 degrees, we can find an equivalent angle within one period by taking the remainder when dividing 4545 degrees by 360 degrees:

4545 degrees ÷ 360 degrees = 12 remainder 105.

So, sin(4545 degrees) is equivalent to sin(105 degrees).

To find the value of sin(105 degrees), we can use a calculator or reference table. The approximate value of sin(105 degrees) is 0.965925826.

Therefore, sin(25.25π) is approximately equal to 0.965925826.

Solving other equations

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