Understanding the Inverse Sine Function: sin^-1(1/2) Explained with Trigonometry and Reference Angles

Sin^-1(1/2)

The expression “sin^-1(1/2)” represents the inverse sine function, often written as “arcsin” or “asin

The expression “sin^-1(1/2)” represents the inverse sine function, often written as “arcsin” or “asin.” It indicates we are looking for an angle whose sine is equal to 1/2.

To find this angle, we can use a trigonometric identity or reference angles. Since we know the sine function is positive in the first and second quadrants, we only need to consider angles between -90 degrees and 180 degrees.

In this case, the angle whose sine is 1/2 is 30 degrees or π/6 radians. So, sin^-1(1/2) = 30 degrees or π/6 radians.

More Answers:

What is the angle whose sine is 1? Find the value of sin^-1(1) and understand its significance in trigonometry.
Exploring the Value of sin^-1 (√3/2): Finding the Angle Whose Sine is (√3/2)
Discovering the Angle: Solving for sin^(-1)(√2/2)

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