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.4.2 5) A circle has radius 3 inches. What is the arc length intercepted by a central angle of 1.5 radians? (E) 6) A central angle of a circle has a measure of 2 radians. The angle intercepts an arc of length 8 meters along the circle. What is the radius of the circle? (E) 7) A circle has a radius of 33 feet. A central angle of the circle intercepts an arc of length 11 feet along the circle. What is the radian measure of the central angle? (E) 8) Sort the following radian measures in increasing order. For each radian measure, • Identify the quadrant that each corresponding angle lies in; write “Quadrantal” if the angle is quadrantal. • Also classify the angle as acute, right, obtuse, or none of these. (F, G) ± 3 5 3 2 3 3 4 7 6 7 4 3 2 6 2 9) Find the complementary angle measure for each of the following angle measures. (G) a) 25 ± b) 6 10) Find the supplementary angle measure for each of the following angle measures. (G) a) 50 ± b) 4 11) For each angle measure below, give three different coterminal angle measures. Also give the general form for all coterminal angle measures. (H) a) 6 . Use radian measure. b) 45 ± . Use degree measure.
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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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