Mathematics
MAT 140 SNHU Pythagoras Theorem and Pythagoras Theorem Discussion

MAT 140

Southern New Hampshire University

MAT

Question Description

Help me study for my Calculus class. I’m stuck and don’t understand.

Problem Statement: Given the following right triangle, find cosθ, sinθ, tanθ, secθ, cscθ, and cotθ. Do not approximate: Find exact answers. Show all of your work and explain steps as necessary.

Prompt: Use the provided template to solve the trigonometric functions problem above, and illustrate your process by addressing each of the following elements:

I. Establish a context for the problem by explaining in your own words the course principles that apply: What are the relationships between theta and the lengths of the sides of the triangle? Be sure to correctly use the appropriate terminology in your explanation.

II. Apply the mathematical process to solve the problem:
A. Use the Pythagorean theorem to find the third side of the triangle.
B. Write out the six trigonometric functions related to theta in exact form.

III. Clearly state the answer using appropriate precalculus notations.


Rubric and Milestone Template Attached

Unformatted Attachment Preview

(This entire first page can be deleted after you review the guidelines. Your paper should begin with the title page that follows.) Review the Milestone One Guidelines and Rubric document to see how your paper will be scored. Be sure to follow APA format when providing references. If you have questions on APA formatting, you can check the Purdue OWL website or seek help from the SNHU Writing Lab. Notes on APA in a Formal Assignment • Use one-inch margins on all sides. • Use 12-point Times New Roman font; you do not need to use double-spacing throughout this document. • Indent the first line of every paragraph by 0.5”. • Be careful not to use personal pronouns such as “I.” Be sure to replace the guidelines text with your own writing. MAT 140 Milestone One: First Practice Problem Walkthrough [Insert Your Name] Southern New Hampshire University Given the following right triangle, find cosθ, sinθ, tanθ, secθ, cscθ, and cotθ. Do not approximate: Find exact answers. Show all of your work and explain steps as necessary. Delete the following guidelines when you are finished. [Indicate your response here. Be sure to show all of your work and explain each step, as necessary. If you need help using the equation editor in Microsoft Word, refer to the Equation Editor Tutorial document. Remember to address each of the critical elements of the prompt: ● Establish a context for the problem by explaining in your own words the course principles that apply: What are the relationships between theta and the lengths of the sides of the triangle? Be sure to correctly use the appropriate terminology in your explanation. ● Apply the mathematical process to solve the problem: ○ Use the Pythagorean theorem to find the third side of the triangle. ○ Write out the six trigonometric functions in exact form related to theta. ● Clearly state the answer using appropriate precalculus notations.] MAT 140 Milestone One Guidelines and Rubric Overview: For the final project, you will illustrate your process for solving selected precalculus problems. In this way, you will defend the validity of your solutions and demonstrate your ability to effectively communicate using precalculus notations, conventions, and terminology. In this milestone, you will submit your first practice problem walkthrough. You will solve a similar trigonometric functions problem as the one that you will ultimately need to address in your final project. This is an important opportunity to practice “walking through” a problem solution in order to gain feedback prior to submitting your final project. Problem Statement: Given the following right triangle, find cosθ, sinθ, tanθ, secθ, cscθ, and cotθ. Do not approximate: Find exact answers. Show all of your work and explain steps as necessary. Prompt: Use the provided template to solve the trigonometric functions problem above, and illustrate your process by addressing each of the following elements: I. Establish a context for the problem by explaining in your own words the course principles that apply: What are the relationships between theta and the lengths of the sides of the triangle? Be sure to correctly use the appropriate terminology in your explanation. II. Apply the mathematical process to solve the problem: A. Use the Pythagorean theorem to find the third side of the triangle. B. Write out the six trigonometric functions related to theta in exact form. III. Clearly state the answer using appropriate precalculus notations. Rubric Guidelines for Submission: Your milestone submission should be about 2 pages in length, including a cover page, and must be written in APA format: Use 12point Times New Roman font and one-inch margins. Critical Elements Proficient (100%) Terminology Establishes a context for the problem by accurately explaining the course principles that apply using appropriate terminology Needs Improvement (70%) Not Evident (0%) Value Establishes a context for the problem but fails to fully or accurately explain the course principles that apply using appropriate terminology Does not establish a context for the problem 30 Mathematical Process Correctly applies the mathematical process to solve the problem Applies the mathematical process to solve the problem, but there are gaps in logic or accuracy Does not apply the mathematical process to solve the problem 30 Precalculus Notations Clearly states the answer to the problem using appropriate precalculus notations States the answer to the problem, but fails to clearly or appropriately use precalculus notations Does not state the answer to the problem 30 Submission has major errors related to citations, grammar, spelling, syntax, or organization that negatively impact readability and articulation of main ideas 10 Articulation of Response Submission is free of errors Submission has no major errors related to citations, grammar, related to citations, grammar, spelling, syntax, and organization spelling, syntax, or organization and is presented in a professional and easy-to-read format Total 100% ...
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Final Answer

Attached is the complete solution

MAT 140 Milestone One: First Practice Problem Walkthrough
Your Name
Southern New Hampshire University

Given the following right triangle, find cos 𝜃 , sin 𝜃 , tan 𝜃 , sec 𝜃 , csc 𝜃 , 𝑎𝑛𝑑 cot 𝜃. Do not
approximate: Find exact answers. Show all of your work and explain steps as necessary.

Pythagoras Theorem
The Pythagoras theorem is one of the widely used mathematical formulae with much
practical significance. It helps to identify the relationship between the sides of a right-angled
triangle. ...

moizeali1 (3720)
Boston College

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