8. If tan A = -1/7 and tan B = 3/4 , where A is obtuse and B is acute, find without using tables the value of A- B. (ans.: 135)

Find the values of a. sec-1(-3)        b. csc-1(1.7)                  c. cot-1 (-2)

Describe 0 by an angle of negative radian measure by determining the angle a that is coterminal with 0 20 if 20 —2л < а <0. (Give an exact answer in units of radians. Use symbolic notation and fractions where needed.) a = rad

54. Viewing Angle of an Observer While visiting a museum, an observer views a painting that is 3 ft high and hangs 6 ft above the ground. See the figure. Assume her eyes are 5 ft above the ground, and let x be the distance from the spot where she is standing to the wall displaying the painting. 3 ft 6 ft 5 ft x ft (a) Show that 0, the viewing angle subtended by the painting, is given by (:) 0 = tan¬1 tan (6)- (b) Find the value of x to the nearest hundredth for each value of 0. (i) 0 = 6 (ii) 0 = 8 (c) Find the value of 0 to the nearest hundredth for each value of x. (i) x = 4 (ii) x = 3

1.21. In circle C below, e is measured in radians. Which expression can be used to find the area of the shaded sector? A. 을.r2 А. В. 360° С. (2л-0) r2 2 (360°-0) D. .2 360°

Answer using ASTC chart

18. What is the value of COS (a) V3 (b) v3 (c) 3 (d)-1/2 19. In AABC, ZC is a right angle. Find the remaining sides and angles. Round your answers to the nearest tenth. a = 3.4. c= 5.8 (c) mLA = 54.1°, mLB = 35.9°, b = 4.7 (d) mLA-35.9°, mLB-54.1°. b-4.7 (a) mLA = 30.4°, mLB 59.6°, b= 4.7 (b) mLA = 59.6°, mZB = 30.4°, b= 4.7

Find all the angles between 0 and 540 degrees for which tan(0)=0.2. Select one: a. -11.31, 168.69 and 348.69 degrees O b. 11.31, 191.31 and 371.31 degrees 23.71 and 113.71 degrees O d. 63.43, 243.43 and 423.43 degrees e. 191.31, 371.31 and 551.31 degrees C.

Complete the following:   Choices of the first box: trig, sin, cos, tan Choices of the second box: op?, +, -, x, / Choices of the third box: trig, sin, cos, tan

Determine the measure of ∠2 if m∠4=50∘ and m∠3=130∘.