Math 1015 – Exam 4 (Take-Home)
You may use the text book and/or your notes, but you must do the exam entirely and
exclusively on your own. The exam must be turned in on Wed, Dec 9, immediately after
class. Make sure to staple multiple pages together and don’t forget to write your name
on the exam.
1. Verify each identity
a. tansin+ cos= sec
b.
= csc 1 + sec
c.
= sin2
2. Let = 2 sin . Simplify the expression
3. Find the exact values of the expressions
a. sin8
!
cos22
!
+ cos8
!
sin22
!
b. sin75
!
c. sin
$
4. For the angles % and & in the figures, find cos % + &
5. Rewrite the following expressions
a. sin3cos5 as a sum of trigonometric functions
b. sin2− sin5 as a product of trigonometric functions
