How to Use pow Function in C for Trigonometric Expressions?

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To write the mathematical expressions sin²(x), sin(x²), and (sin(x))² using the pow function from the C math.h library, it's important to understand their differences. The expressions sin²(x) and (sin(x))² are identical, both representing sin(x) multiplied by itself. The power function pow(x, 2) can be used for these, where you would pass sin(x) as the base. In contrast, sin(x²) is different, as it represents the sine of x squared, which can be computed as sin(x * x). This approach is more efficient than using pow for squaring, as it avoids the overhead of the function call. Overall, while sin²(x) and (sin(x))² are equivalent, sin(x²) is a distinct expression.
pairofstrings
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Hello.
How to write
1. sin2(x)
2. sin(x2)
3. (sin(x))2
by using predefined function pow defined in math.h in C language?
Are they all same?

Thank you.
 
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1 and 3 are identical. Sin2(x) = sin(x) * sin(x) = (sin(x))2.

The power function in the C math.h library is defined as: double pow( double x, double y), where x is raised to the power of y.
So you'll pass to the function sin(x) or x along with a two.
 
pairofstrings said:
Hello.
How to write
1. sin2(x)
2. sin(x2)
3. (sin(x))2
by using predefined function pow defined in math.h in C language?
Are they all same?

Thank you.
Since all of these expressions involve only the power 2, you can get the same result by multiplying instead of using the pow() function. For #2 above, sin(x^2) is the same as sin(x * x), but the latter form takes considerably less time to compute.
 
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