Math 110 Common Exam #2 PDF - March 9, 2022

Math 110 Common Exam #2 March 9, 2022 Problem Score Time: 1 hour and 25 minutes 1 Instructions: Show all work for full credit. No outside materials or calculators allowed....

Math 110 Common Exam #2 March 9, 2022 Problem Score Time: 1 hour and 25 minutes 1 Instructions: Show all work for full credit. No outside materials or calculators allowed. 2 Extra Space: Use the backs of each sheet for extra space. Clearly label when doing so. 3 Name: _______________________________ 4 ID #: _______________________________ 5 Instructor/Section: ____________________ 6 “I pledge by my honor that I have abided by the NJIT Academic Integrity Code.” 7 _______________________ (Signature) 8 9 1. Find the reference angle for the following: (3 pts each) a. 215° b. −200° !"# c. $% 2. In a right triangle ABC (where C is the right angle), find 𝑐𝑠𝑐 𝐴 𝑖𝑓 𝑎 = 5 𝑎𝑛𝑑 𝑏 = 2√6 (6 pts) 3. Find the exact value of the following or write “undefined” if no value exists: (3 pts each for a – c, 6 pts each for d – f) a. csc 780° &"# b. 𝑠𝑖𝑛 ! '# c. 𝑠𝑒𝑐 − & d. 𝑡𝑎𝑛75° # e. cos ;− $&< # $"# # $"# f. 𝑠𝑖𝑛 ( 𝑐𝑜𝑠 $% + 𝑐𝑜𝑠 ( 𝑠𝑖𝑛 $% 4. Graph at least 1 period the following; be sure to label at least 2 identifying points: (6 pts each) # a. 𝑦 = 1 + 3 cos ;3𝜃 + ) < $ b. 𝑦 = & csc(2𝑥) + 2 * '# c. 𝑦 = tan ;" − ) < 5. Given the graph below, find an equation in either sine or cosine. (5 pts) # 6. If 𝑐𝑠𝑐 𝜃 = 2, 𝑓𝑖𝑛𝑑 sec ; & − 𝜃< 5 pts 7. Evaluate the following: (5 pts each) ! a. csc J𝑡𝑎𝑛+$ ;"