University:
Missouri State University
Course:
MTH 136 | Precalculus 1
Academic year:

2021
Views:

156

Pages:

6
Author:

priethyspesees9o

Pre-Calculus/Trigonometry Unit 5 REVIEW Name Key Date Block p. 365 #25-35 (odd), 45, 47, 57, 59, 61, 65, 67, 71, 73, 77 and 79 p. 482 #9, 11, 12, 19, 23, 25 and 31 42 In Exercises 25-28, find the point (x, y) on the unit circle that corresponds to the real number t. THE UNIT clace, t = (2pi)/3 ( - 1/2, sqrt[sqrt(3/2)) 27. r = (5pi)/6 (- (sqrt(3))/2, 1/2) In Exercises 29-32, evaluate (if possible) the six trigono-metric functions of the real number. t = (7pi)/6 S IN =- 1 2 25C = -2 use THE UNIT CIRCLE c.cos= - N * sqrt(2) / 2 S * E ^ 2 --2 sqrt 4 / 2 rawl= (sqrt(3))/3 cos tau = sqrt(3) tau*aw = sqrt(3) CAT - 27/3 t = - (2pi)/3 s lw =- sqrt 2 /z c * dk = - 2sqrt(3) / g ∞ = - 2 In Exercises 33-36, evaluate the trigonometric function using its perlod as an aid. 33. sin((11pi)/4) 11/4 = 2 3/4 -> SiN(2pi + (3pi)/4) - SiN * (3pi*r)/4 + (sqrt(2))/2 35. sin - 17 pi 6 ) 17/6 + 2 5/6 -> Si*omega(- 2pi*r - (51T)/6) + S_{0}*w - 517/60 = - 1/2 In Exercises 45-48, use the given function value and trigonometric Identitles (including the cofunction identitles) to find the indicated trigonometric functions. 45. sin theta = 1/3 = W/W (a) csc)(b) cos 15a )csc(9=3 11 (c) sec (d) tan b cos theta = 2sqrt(2) / 3 c) se - 6 =3 sqrt 2 / 4 r = 3 x = 2sqrt(2) (a) sin theta = 4/c * (b) * cos theta = pi/c d )+ aw (5= sqrt 2 / 4 47. csc #4 TY (c) sec(theta) = c/x * (d) * tan theta = gamma/x r = 4 41 x = sqrt(15) 47 (a) * sin theta = 1/4 6 1cot theta =si5/ 4 sec theta= 4v / tau*Delta*n + theta = sqrt 15 / 44 In Exercises 57-64, the point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle ( 57. (12, 16) 59.(.) SIN CSC 54 E = 12/(root(241, 3)) - w + sqrt 2w1 / -1/4 0 = 4/3 6 = 3/4 TAN 2 = 15/4 CUT 6 > 4/15 61. ( - 0.5, 4.5 )<= i mu,3<=1<=1/ gamma root(8, 4) * 1/a SELO 2대 -9 co + theta = - 1/9 In Exercises 65-70, find the values of the six trigonometric functions of R. Function Value 65. sec(theta) = h/3 Constraint tan theta < 0 67. sin cos theta < 0 US) B = - (8sqrt(n))/(ic) Cos Q = - (sqrt(n))/5 cor*theta = - (50sqrt(4))/41 673 < 366 =\% 3 C_{10} = R_{0} * E_{0} ^ 2 = (- (R_{0} ^ 2 * E_{0} ^ 2)/(R_{0} ^ 2)) / g_{0} r*a_{d}*theta = - sin x COXES COT*\mathfrak{B} = (- sqrt(67)) / 3 In Exercises 71-74, find the reference angle ", and sketch @and theta' | standard position. 71. theta = 254 ^ n theta = - (6pi)/5 264-180-184 B 73) SIT In Exercises 75-82, evaluate the sine, cosine, and tangent of the angle without using a calculator. - (7pi)/3 RA epsilon = Sigma hbar S_{1} = (- pi)/3 = sqrt 2 - 27/3 =4 2 TON - 4/3 = - sqrt(3) 79. 495 deg COTERMINAL 135 Ta = 45 deg SIN 45 = sqrt /2 45 - sqrt / 2 TAN 45 49 * s deg 12 QUAD. II (sqrt(2)) / 2 (sqrt(2)) / 2 6.1 In Exercises 1-12, use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. 9. B = 150 ^ a 30, c = 10 C :9.6^ prime prime Lambda = 20.4 ^ 2 20.9 11. A = 75 ^ e a = 51.2 3 = 39.5 deg, c = 6.5 * 0.5 deg, c = 48.2 b = 33, 7 12. B =25^ * , a = 6.2 4 A = 40.9 deg , C =114.1^ * c = 8.6 A139.1 s = 15.9 deg 2.6