005 Sample Final A, Question 11

From Math Wiki
Jump to navigation Jump to search

Question Solve the following equation in the interval

1) Which trigonometric identities are useful in this problem?
1) and

Step 1:
We need to get rid of the term. Since , the equation becomes
Step 2:
If we simplify and move all the terms to the right hand side, we have .
Step 3:
Now, factoring, we have . Thus, either or .
Step 4:
The solutions to in are or .
Step 5:
The solutions to are angles that satisfy . In , the
solutions are or .
Final Answer:
The solutions are .

Return to Sample Exam