8.3 SECTION EXERCISES VERBAL 1. Why do the functions f(x) = sin 'x and 2. Since the functions y = cos x and y = cos ' x are g(x) = cos 'x have different ranges? inverse functions, why is cos I( cos (- ) ) not equal to - ! ? al 3. Explain the meaning of ~ = arcsin(0.5). 4. Most calculators do not have a key to evaluate sec (2). Explain how this can be done using the cosine function or the inverse cosine function. 5. Why must the domain of the sine function, sin x, 6. Discuss why this statement is incorrect: be restricted to _ It, "] 2' 2 for the inverse sine arccos (cos x) = x for all x. function to exist? 7. Determine whether the following statement is true or false and explain your answer: arccos(-x) = 7 - arccos x. ALGEBRAIC For the following exercises, evaluate the expressions. 8. sin-1V2 9. sin-) 10. cos- 11. cos-1(_V2 12. tan ' (1) 13. tan-1(-V3) 14. tan ' (-1) 15. tan-(V3) 16. tan-(For the following exercises, use a calculator to evaluate each expression. Express answers to the nearest hundredth. 17. cos +0.4} 1s. arcsln(0.23) m 3050*?) 20. cos 1(0.8.) 21. tan ' (6) For the following exercises, nd the angle 9 in the given right triangle. Round answers to the nearest hundredth. 22. 23. 12 A I 19 For the following exercises, nd the exact value, if possible, without a calculator. If it is not possible. explain why. 24. sin 1I[cos(:'r)) 25. tan 1(sin(1't')) 25. 03 1(51D()) 2?. tan (3111(3) 215. Sin (03%? ) 21m .(sm( 4:: ) Preview File Edit View Go Tools Window Help 1 38% Sun Oct 23 12 58 58 AM Q . . . file.pdf (page 768 of 1,220) ~ Q. Search View Zoom Share Highlight Rotate Markup Search file.pdf 9.5 SECTION CACRUISES Youtube -+-1-1 OW COMAL "E: VERBAL B 1. Will there always be solutions to trigonometric 2. When solving a trigonometric equation involving COLLEGE function equations? If not, describe an equation that more than one trig function, do we always want to try would not have a solution. Explain why or why not. to rewrite the equation so it is expressed in terms of one trigonometric function? Why or why not? 767 Account 3. When solving linear trig equations in terms of only sine or cosine, how do we know whether there will be solutions? Dashboard ALGEBRAIC 9 For the following exercises, find all solutions exactly on the interval 0