Cc Geometry H Hw 26 Worksheet With Answers Page 6
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10Example 3: What are the exact sine and cosine values for the "special angles"?
a) Write in the sine and cosine value for 0
and 90
determined in Example (2).
0
0
θ
30
45
60
90
0
0
0
0
0
0
sin θ
cos θ
b) Determine the exact sine and cosine value for 30
0,
60
0
, and 45
0
using the
equilateral triangle with side 2 and isosceles right triangle with side 1 below.
Write your answers, with rationalized denominators, in the chart above.
45
0
30
0
2
1
60
0
1
**Memorize the values of sine and cosine for the special angles above.**
To help memorize, note that the complementary angles have the same values but
in reverse order.
•
sin 0
= cos 90
and sin 90
= cos 0
0
0
0
0
•
sin 30 = cos 60
0
and sin 60
0
= cos 30
0
•
sin 45
0
= cos 45
0
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