Download 4.1-4.3 Review

PRECALCULUS
4.1- 4.3 Review
NAME
DATE
1. Draw an angle that is in standard position with a value of
4
.
3
2. Draw a figure that shows two coterminal angles.
3. Express the angles in radian measure in terms of  .
a) 330°
b) 135°
4. Express the angles in degree measure.
4
5
7
b)
3
a)
5. Identify the ratio that defines the trigonometric function of the angle  .
c
a) cos
b) sec 
d
g
6. Sketch a right triangle corresponding to the trigonometric function of the acute angle  . Use
the Pythagorean Theorem to determine the third side and then find the indicated trigonometric
function of  .
4
If tan  
find cos  and csc 
7
b
a
7. Identify the ratio
and its value.
c
a
60°
b
Let
 be an acute angle. Use the given function value and trigonometric identities to find the indicated
trigonometric function.
8.If sec
=
9. If sin  
13
13
and csc  =
find sin  and tan 
3
2
3
find tan 
4
10. A surveyor points a camera at the top of a mountain forming an angle of 36° with the camera platform. If the
camera is 27 meters from the mountain, how high above the platform is the peek? Round to two decimal places.
x
36°
27 m
11. Evaluate the sine, cosine and tangent of each angle.
t
11
6
t
8
3
a. sin t = _____________
a. sin t = ___________
b. cos t = _____________
a. cos t = ___________
c. tan t = _____________
a. tan t = ___________
12. Evaluate sin
7
4