Science:Math Exam Resources/Courses/MATH110/December 2012/Question 07 (a)
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Question 07 (a) 

Let . Find all values of satisfying the equation in the interval . Justify your answer. 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

In order to solve the equation it is helpful to know the values of and at certain angles. Try using the unit circle or drawing out the graphs of the two functions. 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

Found a typo? Is this solution unclear? Let us know here.
Please rate my easiness! It's quick and helps everyone guide their studies. The equation can be written as
or
Now it remains to find where is equal to in the interval . There are multiple ways to do this.
, or . The opposite and adjacent sides of a right triangle are equal when the right triangle is isoceles, meaning each angle is 45 degrees or . 