Question

MAC1114 - College Trigonometry - Project 2 Instructions: Either complete the project on separate or type your answers using MS Word. Label each of your problems clearly and in numerical order. Once your project is complete, save the document as a pdf file and upload your file using the Assignment link in Falcon Online, that is select Assignments and then select Project 1. If you are submitting a handwritten document, you must write NEATLY. If you are submitting a document using MS Word, you must use the Equation Editor correctly. Points will be deducted for work that is not neatly written or the use of incorrect symbols/notation. You need to show all of your work. Part I - Proofs and Formula Derivations Recall the following definitions from algebra regarding even and odd functions: A function f(x) is even if f(-x) = f(x) for each x in the domain off. A function f(x) is odd if f(-x) = -f(x) for each x in the domain off. Also note that the graph of an even function is symmetrie about the y-axis and the graph of an odd function is symmetric about the origin. The following proof shows that sine is an odd function. Use it as a model to prove that cosine is an even function and that tangent is an odd function. Statement: Show that sine is an odd function. Proof: Let f(t) = sint and consider the following figure: (x,-y)

Answer 1

1. Sinc-t = -sinti True, sin of an negative angle in negative (38 sine of angle in positive, yo įsir I sinat & I Coszt + tan" ("%) + sin(2t 39 sin (at + tant * s sin(2t + tan "( 34 ) ) 12 b. Amplitudes 12 2 카 c. Frequency T 21