Trigonometry Review
Name: _________________
Date: _________________
No Calculators.
1. sin 240
2. cos (-90)
3. tan(-390)
 3 
4. sec  

 2 
5. csc(840)
6. cot(-135)
 19 
8. sec  

4 

 17 
9. cot 

 6 
7. tan
7
6
Find the exact values of the trigonometric functions based on the information provided.
10.   A  2 and secA =
34
16
11. A is in QIII and cotA = 2
sinA = _____ cosA = _____ tanA = _____
tanA = _____ secA = _____ cscA = ______
12.
If a regular hexagon with side length 10 3 is inscribed in a circle, how much
larger is the area of the circle than that of the hexagon?
13.
If the diagonals of a parallelogram have lengths of 12 3 and 12 and cross to
create a 30 angle, what is the length of the longest side of the parallelogram?
14.
In the figure below, ABC is an isosceles right triangle with right angle B, and
DBE is an equilateral triangle. If the perimeter of DBE is 24, what is the
perimeter of ABC?
Calculators
Solve for the sides or angles indicated. If there are no solutions, write “No Triangle”. If
there is more than one solution, give both. Any time a formula is used, show the
formula with values substituted. Round sides to the nearest hundredth and angles to
the nearest second.
15.
In ABC, A = 3215’, B is a right angle, and side b = 18 feet. Solve the
triangle.
16.
In LMN, m = 32.6 in, M = 279’17” and n = 41.3 in. Solve the triangle.
17.
Find the area of the quadrilateral below.
20 ft
42
12 ft
110
10 ft
18.
A ship leaves port and sails northwest for 1 hour and then northeast for 2 hours
traveling at a constant rate of 300 km/hr.
a) How far is the ship from port?
b) How long will it take to return to port?
c) What angle should the ship turn at to return to port? (Name the acute angle)
19.
A submarine dives at an angle of depression of 12 degrees. If it takes 6 minutes
to dive from the surface to a depth of 500 feet, how fast (in miles per hour) does it
travel along its sloping path downward?
20.
In the cube below, find AC in terms of the side length. Then find the acute angle
made by diagonals AC and BD. Round your answers to the nearest hundredth
and hundredth of a degree.