Can you please answer all these questions fully with steps on paper. And for the last sheet Just need to do question 9b and 11 please. Thank you
age 2 of 6 VVS: 20-1 A3 Summer Page 3 of 6 VVS: 20-1 A3 Summer 2. Label the sides of the special triangles below with their exact lengths. The shortest side of each Page 5 of 6 VVS: 20-1 A3 Summer triangle should be I unit. Complete the table with the exact values of sine, cosine, and tangent Page 5 of 7 for each angle. (5 marks - 0.33 marks each) 6. Given sin 0 = -70 and 0 is an angle in standard position with a terminal arm in quadrant III. 11. When solving a triangle in which we have a matching side and angle, we must analyze the given VS: 20-1 Al Summer 22 Determine the exact values of the other two primary trigonometric ratios. (2 marks) information to determine if a solution exists . If you are given the measures of two angles and one 9 . Calculate the discriminant , and state the nature of the roots for each equation . side (ASA), then the triangle is uniquely defined. However, if you are given two sides and an 0 = 30 0=45 0=60 angle opposite one of those sides (SSA), the ambiguous case may occur. 6x3 -5x +4=0 (2 marks) b. 9x - 30x+ 25=0 (2 marks) sin 0 In the ambiguous case, there are three possible outcomes: discriminants D = 62 - 4ac No triangle exists that has the given measures 0= (5) 2-4(6)(4 ) . C One triangle exists that has the given measures cos 0 Two triangles exist that have the given measures 0 = 25 - 96 (negative ) D = - 71 60% If we are given an acute ZA, side a, and side b, and the height of the triangle is h= bsin A, state the D= - 7140 so 2 imagirony rods criteria for the following to happen: (2 marks ) tan 0 10 . Using the graphs , state the nature of the roots , and describe the value of the discriminant (positive, zero, or negative). No triangles when . .. One triangle when . .. Two triangles when . . 7. Colbi and Kailey are looking at the top of a 21.5 m tall tree. Kailey's line of sight makes an a. (1 mark) b. (1 mark ) 3. Determine the length of the line segment connecting the origin to the point (-7,-5). Leave your (1 mark) angle of 30" with the treetop, and Colbi's 53 . Determine the distance between Colbi and answer as an exact value. (1 mark) Kailey, rounding your answer to the nearest tenth of a metre. (3 marks) 12 - 400 70 If we are given an obtuse ZA, side a, and side b, state the criteria for the following to happen: (I mark) not No triangles when . . One triangle when . no real roots roots are real but The point (-6,5) is on the terminal arm of an angle 0, in standard position. Determine the exact 12 . For each of the following situations, determine the number of possible triangles . Then solve for negative discriminant not equal roots real and equal primary trigonometric ratios, sin , cos, and tan , for the angle. (3 marks) all missing sides and angles. Round all answers to the nearest tenth. positive discriminant zero discriminant AABC where ZA = 82', a = 7, b=4 (3 marks) 11. Consecutive integers are whole numbers that follow each other. For example: 5, 6, and 7 are consecutive integers where 8 . Solve each equation for 0. Round your answer to the nearest degree. (4 marks) 5 is the first integer 6 is the second consecutive integer a. sin0 =-0.4226, 0' s 0
