Trigonometric Ratios Of Complements Page 3
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4Math 2 Unit 2 Right Triangle Trigonometry
Name:
TRIGONOMETRIC RATIOS OF COMPLEMENTS
GPStandard MM2G2
Students will define and apply sine, cosine and tangent ratios to right triangles.
a.
Discover the relationship of the trigonometric ratios for similar triangles.
b.
Explain the relationship between the trigonometric ratios of complementary angles.
c.
Solve application problems using the trigonometric ratios.
EQ: How do we explain the relationship of trigonometric ratios of complementary angles?
5
Angles A and B are complementary angles in a right triangle. The value of sin A is 13
. What is
9
cos A, tan A, sin B, cos B and tan B?
sin A
cos A
tan A
sin B
cos B
tan B
15
Angles J and K are complementary angles in a right triangle. The value of tan J is 8
. What is
10
sin J, cos J, sin K, cos K and tan K?
sin J
cos J
tan J
sin K
cos K
tan K
7
Angles G and H are complementary angles in a right triangle. The value of cos H is 25
. What is
11
sin H, tan H, sin G, cos G and tan G?
sin G
cos G
tan G
sin H
cos H
tan H
9
Angles M and N are complementary angles in a right triangle. The value of sin M is 41
. What is
12
cos M, tan M, sin N, cos N and tan N?
sin M
cos M
tan M
sin N
cos N
tan N
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