At what angles does the sine wave reach its maximum values?

At what angles does the sine wave reach its maximum values?

• A. 0 degrees and 360 degrees
• B. 90 degrees and 270 degrees
• C. 45 degrees and 225 degrees
• D. 180 degrees and 360 degrees

Answer: (B)

The sine function, which is essential in electrical power production, reaches its maximum value at specific angles. In the context of a sine wave, the maximum value occurs when the angle is 90 degrees (or π/2 radians) and when the wave passes through a complete cycle back to the same point at 270 degrees (or 3π/2 radians). When the sine function is graphed, it reaches its peak at 90 degrees, where the value is +1, and drops back down before reaching the next peak, which occurs at 270 degrees returning to -1. This directly relates to the periodic nature of the sine wave, where these two points represent the peaks of the wave in one complete cycle (0 to 360 degrees). Understanding these key angles is critical because they directly influence the performance of systems that rely on sinusoidal waveforms, such as AC power systems.

The sine function, which is essential in electrical power production, reaches its maximum value at specific angles. In the context of a sine wave, the maximum value occurs when the angle is 90 degrees (or π/2 radians) and when the wave passes through a complete cycle back to the same point at 270 degrees (or 3π/2 radians).

When the sine function is graphed, it reaches its peak at 90 degrees, where the value is +1, and drops back down before reaching the next peak, which occurs at 270 degrees returning to -1. This directly relates to the periodic nature of the sine wave, where these two points represent the peaks of the wave in one complete cycle (0 to 360 degrees).

Understanding these key angles is critical because they directly influence the performance of systems that rely on sinusoidal waveforms, such as AC power systems.