Name:
Date:
Advanced Math
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o
Below is a table of sine values for angles between 0 and 90 . Even though it’s not in the table, don’t
forget that sin(0) = 0. Based on your understanding of the unit circle, and the trigonometric ratios, along
with one more hint, you should be able to evaluate each of the expressions below, using only the values
in the table. Do not use your graphing calculators for these problems.


Here’s the One More Hint: For each problem, first express the problem as the sine of an angle between 0
and 90 then evaluate.
For Example: We know that the sin(30)= ½ and that the cos(60)= ½. Think about how we might want to
evaluate cos(15) using sine…
1.
sin( 104 o)
2. cos( 82 o)



3. csc( 124 o)
4. tan( 28 o)

 5. sec( 75 )

6. sin( 5 )


7. cos( 100 o)
8. sin(- 575)

9. cos(  5 )




10. sin 1(.934)
11. sin 1(.616)
12. cos1(.342)
Practice
1. Evaluate cos(75˚).
a) Use this information along with the information in the sine table to find the sine and
cosine in quadrants II, II, and IV, using 75˚ as a reference angle. Hint: First find the x
and y coordinate on the unit circle for the angle 75˚.

sin 
cos
QII
QIII
QIV
b) Using 75˚ as a reference angle, find the sine and cosine for two angles greater than
360˚ (choose angles that terminate in two different quadrants).
sin 
cos

c) Using 75˚ as a reference angle, find the sine and cosine for two angles less than 0˚
(choose angles that terminate in two different quadrants).
sin 
cos

2. Evaluate tan (40˚).
a) Use this information along with the information in the sine table to find the sine
cosine and tangent in quadrants II, III, and IV, using 40˚ as a reference angle. You may
use a calculator to do simple calculations but not trig calculations

sin 
cos
QII
QIII
QIV
b)Using 40˚ as a reference angle, find the sine, cosine and tangent for two angles greater
than 360˚ (choose angles that terminate in two different quadrants). You may use a
calculator to do simple calculations but not trig calculations

sin 
cos
c)Using 40˚ as a reference angle, find the sine, cosine, and tangent for two angles less
than 0˚ (choose angles that terminate in two different quadrants). You may use a
calculator to do simple calculations but not trig calculations.

sin 
cos