Trigonometric Functions

Step 1: Express in decimal form.
We know that (minutes) is degrees.
Therefore, . Step 2: Use the half-angle identity for sine.
The half-angle formula for sine is: For , since , we can use the half-angle identity: Step 3: Find .
We know that: Step 4: Substitute into the half-angle formula.
Step 5: Simplify the expression.
First, simplify the expression inside the square root: Now, divide by 2: Thus, the expression becomes: Step 6: Rationalize the expression.
The final expression for simplifies to: Thus, the value of is .