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Math141HW3

Math141HW3 - (Exercises for Chapter 4 Introduction to...

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(Exercises for Chapter 4: Introduction to Trigonometry) E.4.1 CHAPTER 4: Introduction to Trigonometry (A) means “refer to Part A,” (B) means “refer to Part B,” etc. (Calculator) means “use a calculator.” Otherwise, do not use a calculator. Write units in your final answers where appropriate. Try to avoid rounding intermediate results; if you do round off, do it to at least five significant digits. SECTION 4.1: ANGLES 1) Rewrite the following degree measures using DMS (Degree-Minute-Second) measure. (B) a) 48.25 ± . Hint: 48.25 ± = 48 ± + 0.25 ± . b) 341.702 ± . (Calculator) 2) Rewrite the following DMS (Degree-Minute-Second) measures using degree measure. (B) a) 22 ± 3 ± 0 b) 102 ± 1 ± 75 ±± 4 . Round off to six significant digits. (Calculator) 3) Convert the following degree measures into radians. (D) a) 80 ± b) ± 36 ± c) 271.3 ± . Round off to four significant digits. (Calculator) 4) Convert the following radian measures into degrees. (D) a) ± 10 b) ± 3 ² 4 c) 3.964. Round off to four significant digits. (Calculator)

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(Exercises for Chapter 4: Introduction to Trigonometry) E.4.3 SECTIONS 4.2-4.4: TRIG FUNCTIONS (VALUES AND IDENTITIES) If you are asked to evaluate an expression that is undefined, write “und.” Rationalize denominators and simplify wherever appropriate. 1) Assume that sin ± = 3 5 and cos = 4 5 . (A) a) Find csc . b) Find sec . c) Find tan . d) Find cot . e) Find sin 2 + cos 2 . 2) Use the figure below. (A) a) Find sin . b) Find cos . c) Find tan . d) Find csc . e) Find sec . f) Find cot . g) Find sin 2 + cos 2 .

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(Exercises for Chapter 4: Introduction to Trigonometry) E.4.4 3) Assume that sin ± = 5 13 , where is acute. (A) a) Find cos . b) Find tan . c) Find csc . d) Find sec .
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Math141HW3 - (Exercises for Chapter 4 Introduction to...

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