Question: If sin A = 1/2, what is the value of A in radians?
Options:
Ï€/6
Ï€/4
Ï€/3
Ï€/2
Correct Answer: π/6
Solution:
The angle A for which sin A = 1/2 is π/6 radians.
If sin A = 1/2, what is the value of A in radians?
Practice Questions
Q1
If sin A = 1/2, what is the value of A in radians?
Ï€/6
Ï€/4
Ï€/3
Ï€/2
Questions & Step-by-Step Solutions
If sin A = 1/2, what is the value of A in radians?
Step 1: Understand that sin A = 1/2 means we are looking for an angle A where the sine value is 1/2.
Step 2: Recall the unit circle and the common angles. The sine of an angle is the y-coordinate of the point on the unit circle.
Step 3: Identify the angle where the sine value is 1/2. This occurs at π/6 radians (or 30 degrees).
Step 4: Confirm that there are other angles where sin A = 1/2, but the question asks for the value of A in radians, so we focus on the principal value.
Step 5: Conclude that the value of A is π/6 radians.
Trigonometric Functions – Understanding the values of sine for common angles in the unit circle.
Inverse Trigonometric Functions – Using the inverse sine function to find angles corresponding to specific sine values.
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