Question Analysis
The main focus is using the relationship between sine and cosine of complementary angles in a right triangle.
Key Concept Explanation
Complementary Angles in Right Triangles: In a right triangle, the two acute angles are complementary (). Thus, and .
Step-by-Step Solution
1. Identify the complementary angle:
The complementary angle of is .
2. Apply the co-function identity:
By definition, .
3. Substitute the given value:
Since , it follows that