Using the co-function identity, which expression equals ?
Options
A
B
C
D
Answer & Analysis
Answer
D
Analysis
Question Analysis
The main focus is using the co-function identity to relate to of its complementary angle for , which is an obtuse angle in QII.
Key Concept Explanation
Co-function identity: for acute . For obtuse , first find the reference angle , then apply (QII cosine is negative) and use the co-function identity on .
Step-by-Step Solution
1. Find the reference angle for :
Thus, .
2. Apply the co-function identity to :
3. Simplify the complementary angle:
Convert to twenty-sixths: ,
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