Math 150 – Fall 2015: Quiz 10 – Section 8E-8H
Group Worksheet (5 pts):
Yes or No Section Number(5 pts):
(circle yes if this is the worksheet your group would like to be graded)
If this is NOT the group worksheet, print your name here:
(-10 pts if you don’t turn in an individual worksheet with your name in this blank)
For BOTH group and individual worksheets, print the names of all members of the group who attended lab
and contributed to the worksheet here (10 pts):
Directions: You may not use your class notes, book, calculator, cell phone, any electronic devices, etc.
Your grade will be determined by your final answer and the work to justify it. You must show all your work
to receive credit. Your group should turn in one group worksheet, and each individual should turn in their
own worksheet. Only the group worksheet will count as part of your grade.
1. (15 pts) Evaluate cos−1 sin 7π
6 .
2. (15 pts) Fully simplify cos tan−1 (−2) + sin−1
1
3
.
3. (15 pts) Two sides of a triangle are of lengths 2 meters and 4 meters. If the angle between them is
sin−1 43 , what is the length of the third side of the triangle? Include the units in your answer.
√
4. (15 pts) Solve the triangle with two sides of length 2 3 and 2 with the angle opposite the side of length
2 is 30◦ . If there is more than one possible triangle, list all the possible triangles.
5. (15 pts) Solve the equation sin 3x =
√
− 2
2 .
6. (15 pts) Solve the equation cos x + sin 2x = 0 for x on the interval [0, 2π).