005 Sample Final A, Question 14

From Math Wiki
Revision as of 18:28, 31 May 2015 by MathAdmin (talk | contribs) (Created page with "''' Question ''' Prove the following identity, <br> <center><math>\frac{1-\sin(\theta)}{\cos(\theta)}=\frac{\cos(\theta)}{1+\sin(\theta)}</math></center> {| class="mw-collap...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

Question Prove the following identity,


Foundations:
1) What can you multiply by to obtain a formula that is equivalent to something involving ?
Answers:
1) You can multiply by Failed to parse (syntax error): {\displaystyle \frac{1 + \sin(\theta)}{\1 + \sin(\theta)}}
Step 1:
We start with the left hand side. We have .
Step 2:
Simplifying, we get .
Step 3:
Since , we have

Return to Sample Exam