Chapter 2: Trigonometric Ratios

Exercises: Chapter 2 Review Problems

Chapter Review Suggested Problems

Problems: # 10, 14, 18, 22, 22, 24, 26, 40

 

Exercises for Chapter 2 Review

Exercise Group

For Problems 1–6, explain why the description of [latex]\triangle ABC[/latex] is impossible.

1.

[latex]A \lt B \lt C{,}[/latex] and [latex]B = 93°[/latex]

2.

[latex]A \lt B \lt C{,}[/latex] and [latex]C = 58°[/latex]

Exercise Group

For Problems 7 and 8, sketch the triangle.

7.

The three angles of a triangle are [latex]20°, 50°, {and}~ 110°,[/latex] and the three sides are [latex]15[/latex] cm, [latex]6.7[/latex] cm, and [latex]18.4[/latex] cm. Sketch and label the triangle.

8.

Sketch and label an isosceles triangle with sides [latex]5[/latex] in and [latex]12[/latex] in, and one angle [latex]78°{.}[/latex]

Exercise Group

For Problems 9–12, find the unknown side of the right triangle.

9.

triangle

10.

triangle

11.

triangle

12.

triangle

13.

A triangle has sides of length [latex]33, 56,[/latex] and [latex]65[/latex]. Is it a right triangle?

Exercise Group

For Problems 19–22,

  1. Find the unknown side.
  2. Find the sine, cosine, and tangent of [latex]\theta{.}[/latex] Round your answers to four decimal places.
19.

triangle

20.

triangle

21.

triangle

22.

triangle

Exercise Group

For Problems 23–28, find the unknown side of the triangle. Round your answer to hundredths.

23.

triangle

24.

triangle

25.

triangle

26.

triangle

27.

triangle

28.

triangle

Exercise Group

For Problems 29–32, solve the triangle. Give exact values.

29.

triangle

30.

triangle

31.

triangle

32.

triangle

33.

Find the diameter of a hex nut if one of the sides is 1.5 cm.

hexagon

 

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Trigonometry Copyright © 2024 by Bimal Kunwor; Donna Densmore; Jared Eusea; and Yi Zhen. All Rights Reserved.

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