Questions: Which command gives the correct answer for y ? y=cos 4* x y=cos (4* x) y=cos (4 x)

Transcript text: Which command gives the correct answer for $y$ ? $y=\cos 4^{*} x$ $y=\cos \left(4^{*} x\right)$ $y=\cos (4 x)$

Solution

Solution Steps

To determine which command gives the correct answer for $ y = \cos(4x) $, we need to evaluate the expression using Python's math library. The correct mathematical expression is $ y = \cos(4x) $, which corresponds to the third option.

Step 1: Define the Mathematical Expression

The problem requires evaluating the expression $ y = \cos(4x) $. This expression involves calculating the cosine of the product of 4 and $ x $.

Step 2: Substitute the Value of $ x $

Given $ x = 1 $, substitute this value into the expression to find $ y $. Thus, the expression becomes $ y = \cos(4 \times 1) $.

Step 3: Calculate the Cosine

Calculate the cosine of 4, which is the result of the expression $ \cos(4) $.

Step 4: Round the Result

The calculated value of $ y $ is approximately $-0.6536436208636119$. Rounding this to four significant digits gives $ y \approx -0.6536 $.

Final Answer

$\boxed{y = \cos(4x)}$

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