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Ch.4/5 - Trig Functions: Triangle Toolkit

Click here for Parent Guide with Extra Practice for Chapter 5 - Completing the Triangle Toolkit from CPM


Chapter

Objective

Students will be able to…

Standard(s)

Help/Examples

 Practice

4.1.4

5.1.1

Use sine, cosine and tangent to find missing side lengths of right triangles

G-SRT.8

 Basic trigonometry


Example: Using soh cah toa

Basic trigonometry II
Trigonometric ratios: sin, cos, and tan

Trigonometric functions and side ratios in right triangles

 

Trigonometry 0.5


5.1.3

Use inverse trig functions (sin-1, cos-1 and tan-1) to find missing angles of right triangles

G-SRT.8

Right Triangle Trigonometry - Finding Angles (Inverse Functions)


Find right triangle angle measures using inverse tangent function

Find right triangle angle measures using inverse cosine function

Find right triangle angle measures using inverse sine function

 

5.1.4

Apply trig functions and  inverse trig functions to real world situations

G-SRT.8

Angles of Elevation and Depression

Apply trigonometry and the Pythagorean Theorem in context

 

5.2.1

Apply short cut ratios of special right triangles (30-60-90 and 45-45-90) to find missing side lengths

G-CO.10

G-SRT.8

 Special Right Triangles - Part 1 (45-45-90 and 30-60-90)


Special Right Triangles - Part 2 (45-45-90)

Special Right Triangles - Part 3 (30-60-90)


 

5.2.2

Recognize and apply Pythagorean triples to find missing side lengths (i.e. 3:4:5 and 5:12:13)

G-SRT.8

 

 

5.3.2

Use the Law of Sines to find  missing side lengths and angles of right triangles

G-SRT.10

Solve non-right triangles using Law of Sines

Law of Sines

5.3.3

Use the Law of Cosines to find  missing side lengths and angles of right triangles

G-SRT.10

 Solve non-right triangles using Law of Cosines

Law of Cosines

5.3.4

ADV. GEO: Ambiguous case

G-SRT.10

 

 

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