What is the angle whose sine is 1? Find the value of sin^-1(1) and understand its significance in trigonometry.

Sin^ -1 (1)

The given expression is sin^ -1 (1)

The given expression is sin^ -1 (1).

In trigonometry, sin^ -1 (x) represents the inverse sine function, or the arc sine function. This function takes an input value of x and gives the angle (in radians or degrees) whose sine is x.

Since the value inside the inverse sine function is 1, we are looking for the angle whose sine is equal to 1.

The range of the sine function is between -1 and 1, so a sine value of 1 corresponds to a specific angle. We know that for the angle to have a sine of 1, it must be a 90-degree angle or π/2 radians. Therefore, sin^ -1 (1) equals 90 degrees or π/2 radians.

To summarize, sin^ -1 (1) equals 90 degrees or π/2 radians.

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