Question

please answer 37, 39 and 41

thout looking at the 1 I number ol solutions, is it an identity? Explain. 30. Does an identity have an infinite number of solutions? entities are called Explain. dentities to find the Eric functions of In Problems 31-36, use the fundamental identities to find the exact values of the remaining trigonometrie fonctions of x. given the following: 31. sin x = 2/5 and cos x < 0 32. cos x - 3/4 and tan x <0 33. tanx = -1/2 and sin x > 0 34. cotx = -3/2 and sex > 0 35. secx - 4 and cotx > 0 36. Csex = -3 and secx <0 10/3 /3 VTS ession using the to In Problems 37-40, is it possible to use the given information to find the exact values of the remaining trigonometric func- tions? Explain. 37. sin x = 1/3 and sex > 0 38. tan.x = 2 and cotx > 0 39. cotx = -V3 and tan x < 0 40. sec x = -V2 and cos x < 0 41. For the following graphing calculator displays, find the value of the final expression without finding x or using a calculator: (A) (B) (sin(x>> sin(-x) + 1 seex sin(x) 4350 . 1892 (cos(x))2 - (sin x + 1)2 x + 1 not an identity and right sides 42. For the following graphing calculator displays, find the value of the final expression without finding x or using a calculator: (A) (B) sin(x) .8660 tan(-X) cos(X) .5000 tan(X) tan<x> .4831

Answer 1

Glinen that sin a=th and Cock 70 cash = 1-sinha o casa = √1-(43) 2 » S M = 8 Tanx = Slovenia - Home - } Cscu - s T - 3 feeu = men - Ha - ģ calu CSC sin مام ملبن cotr = cest 219 2 = 3. - sind 13 (39) cotx=-83 and tandco. Tanks daher - to stay there sind=1, cest=ts csch - Tina - t=1 Seexe dans touto sinnal C9 2 - 3 Tank = -1/3 CSCM = 1 secx= -1/3 (41) (a) Sinca)=0.4350 amitedediad, x= siul (0.4350) sx=25.78529 ( (sin(a) = 0. 1892 as sina=0.434971 ģ na Sint/0.434971) na 25. 78346 & asn=0.434973 (ees (x)) = 0.1892 ara as (0.434971) x=64.21655