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What is the absolute maximum value of sin(x) within the interval [0,2π]?

A) 0
B) 1
C) -1
D) Undefined

1 Answer

1 vote

Final answer:

The absolute maximum value of sin(x) within the interval [0,2π] is 1, which occurs at π/2 radians or 90 degrees.

Step-by-step explanation:

The absolute maximum value of sin(x) within the interval [0,2π] is 1. The sine function oscillates between -1 and +1, and reaches its maximum value of 1 at an angle of π/2 radians, or 90°. Any value of sin(x) will not exceed this, so the answer is option B) 1.

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