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Math 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.

Discover the relationship of the trigonometric ratios for similar triangles.

Explain the relationship between the trigonometric ratios of complementary angles.

Solve application problems using the trigonometric ratios.

EQ: How do we explain the relationship of trigonometric ratios of complementary angles?



The set of numbers { 41, 9, 40 } is an example of a Pythagorean triple. A student completed the chart

below but several students said “Hey! you did this wrong.” How can you support the students’

argument by showing what the student is supposed to do?

sin 90-

cos 90-

tan 90-

sin 90-

cos 90-

tan 90-

What does this problem tell you about the side opposite ?

What does this problem tell you about the side adjacent to ?

What does this problem tell you about the hypotenuse?



All the following sets of numbers are Pythagorean triples. How can we label each triangle, find the requested

ratio and find another ratio that equals to the requested ratio?

sin ?

cos ?

tan ?

sin 90-?

cos 90- ?

tan 90-?



 and its complement

After doing problem 7, what are three relationships we can write about

sin  =

cos  =

tan  =

Trigonometric Ratios Of Complements Page 2