# Translating word problem into an equation.

(This entire first page can be deleted after you review the guidelines. Your paper should begin with the title page that follows.)

Review the Final Project 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
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• 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 Final Project: Problem Walkthroughs
Southern New Hampshire University

1. 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:
o Use the Pythagorean theorem to find the third side of the triangle.
o Write out the six trigonometric functions in exact form related to theta.
• Clearly state the answer using appropriate precalculus notations.]

1. Prove the identity:

[When you are finished, delete this text and the guidelines in the table below.]

Statement Rule
Use this template to indicate your answer. You can create more rows if necessary. Indicate each step of your process in this column Defend your process by identifying the appropriate explanation for each process step in this column.
Remember to:

• Identify the problem statement.
• Correctly use appropriate identities and/or theorems.
• Correctly use the algebraic process.
• Identify the final statement.

1. Solve the following problem for the angle x.

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.
Remember to address each of the critical elements of the prompt:
• Articulate your overall approach to solving this problem before tackling the details. In other words, think about what the question is actually asking, which pieces of information are relevant, and how you can use what you have learned to fill in the missing pieces.
• Apply the mathematical process to solve the problem:
o Interpret the word problem to identify any missing information.
o Translate the word problem into an equation.
o Appropriately use the order of operations and law of sines and cosines to determine the solution.
o Check your work by ensuring that the known properties of triangles are met.
• Summarize the solution in the terms of the original question using appropriate conventions of precalculus.] 