Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 72, Problem 1A

Sketch a 251°25' ray on a Cartesian coordinate system and from a point on the ray sketch a right triangle. Label the sides of the triangle + or . Determine the reference angle and the sine, cosine, tangent, cotangent, secant, and cosecant functions for the angle. Round the answers to 5 decimal places.

Expert Solution & Answer
Check Mark
To determine

A ray of 251°25, a right triangle from the ray, sine, cosine, tangent, cotangent, cosecant and secant.

Answer to Problem 1A

The sketch is shown in Figure 1 and all the trigonometry values are given below:

  sin251°25=0.94786

  cos251°25=0.31868

  tan251°25=2.97430

  cot251°25=0.33621

  cosec251°25=1.05501

  sec251°25=3.13791

Explanation of Solution

Given:

A ray of angle 220°10.

Construction:

  • Take a Cartesian plane and draw a ray of angle 251°25 .
  • Draw a right triangle from the point of the ray.
  • Take negative sign on both base and height.

The sketch is shown below:

Mathematics For Machine Technology, Chapter 72, Problem 1A

Figure 1.

Calculation:

All the trigonometry functions are calculated as follows:

  sin251°25=0.94786

  cos251°25=0.31868

  tan251°25=2.97430

  cot251°25=0.33621

  cosec251°25=1.05501

  sec251°25=3.13791

Conclusion:

The sketch is shown in Figure 1 and all the trigonometry values are given below:

  sin251°25=0.94786

  cos251°25=0.31868

  tan251°25=2.97430

  cot251°25=0.33621

  cosec251°25=1.05501

  sec251°25=3.13791

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Chapter 72 Solutions

Mathematics For Machine Technology

Ch. 72 - Find x. All dimensions are in inches.Ch. 72 - Prob. 12ACh. 72 - Find x. All dimensions are in inches.Ch. 72 - Find x. All dimensions are in inches.Ch. 72 - Find side x. All dimensions are in millimeters.Ch. 72 - Two sides and an angle opposite one of the sides...Ch. 72 - Two sides and an angle opposite one of the sides...Ch. 72 - A 21-mm side, 29-mm side, a 41 angle opposite the...Ch. 72 - A 0.943" side, a 0.612" side, and a 6215' angle...Ch. 72 - A 2.10-ft side, a 3.05-ft side, a 2930' angle...Ch. 72 - A 16.35-mm side, a 23.86-mm side, a 115 angle...Ch. 72 - An 87.60-mm side, a 124.80-mm side, a 12.90 angle...Ch. 72 - A 34.090" side, a 35.120" side, a 4618' angle...Ch. 72 - Solve the following exercises using the Law of...Ch. 72 - Solve the following exercises using the Law of...Ch. 72 - Solve the following exercises using the Law of...Ch. 72 - Solve the following exercises using the Law of...Ch. 72 - Solve the following exercises using the Law of...Ch. 72 - Solve the following exercises using the Law of...Ch. 72 - Find x. All dimensions are in inches.Ch. 72 - Find side x. All dimensions are in millimeters.Ch. 72 - Find side x. All dimensions are in inchesCh. 72 - Solve the following exercises using a combination...Ch. 72 - Solve the following exercises using a combination...Ch. 72 - Solve the following exercises using a combination...Ch. 72 - Prob. 36ACh. 72 - Solve the following exercises using a combination...Ch. 72 - Solve the following exercises using a combination...Ch. 72 - Solve the following machine shop exercises. Find...Ch. 72 - Solve the following machine shop exercises. Find...Ch. 72 - Prob. 41ACh. 72 - Prob. 42ACh. 72 - Solve the following machine shop exercises. Find...Ch. 72 - Solve the following machine shop exercises. Find...Ch. 72 - Prob. 45ACh. 72 - Solve the following machine shop exercises. Find...Ch. 72 - Prob. 47ACh. 72 - Prob. 48A
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