Solve for y y=cos(4pi)

Problem

y=cos(4*π)

Solution

1. Identify the period of the cosine function. The cosine function cos(θ) has a period of 2*π meaning cos(θ+2*π*k)=cos(θ) for any integer k

2. Simplify the angle by removing full rotations. Since 4*π is exactly two full rotations (2×2*π, the value of cos(4*π) is equivalent to the value of cos(0)

3. Evaluate the trigonometric function at the simplified angle. Using the unit circle or standard trigonometric values, the cosine of 0 is 1

Final Answer

y=1

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