Final answer:
Unable to solve for k without additional context or a specific equation involving k, as the problem statement is unclear and seems to include unrelated mathematical statements.
Step-by-step explanation:
The problem statement given does not clearly provide the information necessary to solve for the value of k. It appears to mix various unrelated mathematical statements and problems. It's important for a student seeking help to provide a clear and detailed question to ensure accurate and effective tutoring. Without further context or a specific equation involving k, I cannot solve for k based on the given information, which includes angles, trigonometric values, and expressions with k in various unrelated contexts. If this is a sort of code or shorthand relating to a diagram or a longer problem set, please provide the full context or the specific equation that needs to be solved.