Unit Circle Application - Trignometry - Practice Problems, Study notes of Trigonometry

Download Unit Circle Application - Trignometry - Practice Problems and more Study notes Trigonometry in PDF only on Docsity! 1/6 Trigonometry Chapter LA Name Worksheet 1.74 Day 2 Give the exact trigonometric function value in each of the following. DO NOT USE A CALCULATOR—NO DECIMAL ANSWERS. 1. tan 270 2. sin 0 3. cos 90 - ese 180 5. sin 360 6. cot 270 = ss \ a (..9e€ i008] 7. cot 45 8. sin 330 9. sec 210 { as = So Sif 10. cos 0 LL. sec 90 12. sin 135 \ eae eS = eens “Oo. 13, tan 225 14. cot 360 15. sin 270 Sin ae Cos + “er SE a “& = (cnstned] -1 (oO LZ ™I 16. cot 180 Wa 17. cos 180 18. cse 240 \ e106 \ TS % a, (a & 19. ese 270 20. sin 60 21. tan 90 [ sin \ — 22. cot 120 bh tad . sec 0 24. cse 360 ! a Ta dean = \ SG -t-x|-S S wel State the quadrant in which an angle in standard position with measure @ lies under the given conditions. 25. cos? <0 and tan@ <0 26. sin@>0 and sec@ > 0 27. cot@ <0 and sin@ > 0 28. csc? <0 and sec? <0 Use a calculator to find each value. Give your answer to three decimal places. 29. cos 72°30' 30. tan1 10°20" 31. ese 42.784 Use a calculator to find each value of @ , give your answer in decimal degrees. 32. sin@=.425 33 Leos AZ.752) SA sed = 5.1238 os os Z - a a cee (O88 8 = Sag is the measure of an angle in standard position that lies in the given quadrant. Find the remaining five trigonometric ratios. 35. sind? = 3. Quadrant TV 36. tan@ = = Quadrant IIT > escO = sin@ = esc? = cos @ = sec@ = cos @ = sec@ = tan? = cot@ = cot @ = 2/6 5/6 Non-Calculator Part @ is the measure of an angle in standard position that lies in the given quadrant. Find the remaining five trigonometric ratios. 3) : 5. 1. tan@ = =s% Quadrant I\ 2. sec# = = Quadrant II sin@ = ese P= sin@ = esc = cos 8 = sec? = cos @ = coté = tan@ = coté = The terminal side of an angle with measure @ in standard position passes through the given point. Sketch the reference triangle and find the six trigonometric ratios. 3. (4,-4) 4. (-5,-12) sin@ = csc @ = sin@ = cse@ = cos @ = sec@ = cos @ = sec@ = tan 8 = cot? = tan @ = cot? = Suppose that the point (x, y) is in the indicated quadrant. Decide whether the given ratio is positive or negative. a 6.1, 2 7. TIL r x x r State the quadrant in which an angle in standard position with measure @ lies under the given conditions. 8. cos? <0 and cot? >0 9. cos? > 0 and csc? <0 10. tan@ <0 and sin@ > 0 Cc? C+> A_x © x 1B) 4-36 Give the exact trigonometric function value in each of the following. DO NOT USE A CALCULATOR—NO DECIMAL ANSWERS. Ll. tan 45 12. sin 120 14. ese 270 15. sin 90 17. tan 330 18. sin 300 20. esc 240 21. sin 360 13. 16. 19. 9 cos 150 cot 180 nN Ww cos 2 cot 210 6/6