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Question 13 (3 points) Prove the following identity for all permissible values of 0. 1 + cos e = sec 0 + tan - 0
Question 13 (3 points) Prove the following identity for all permissible values of 0. 1 + cos e = sec 0 + tan - 0 +1 1 - sine . . . Question 14 (4 points) Solve for 0, algebraically, over the interval [0, 27]. csc*0 + 2csc0 - 8 = 0 . . .Question 4 (1 point) Which expression is equivalent to sin(20) 2sin-e 2csce N O sine tane cote Question 5 (1 point) What is the general solution, in degrees, to the equation 2cosxcos2x -2sinxsin2x = -1? O 40' + k 180' and 80 + k 180', where KEZ 40' +K 120' , KEZ 40 + * 120' and 80 + * 120', KEZ 220' + k120' and 330* +K120', KEZ4 TT Identify the point on the unit circle corresponding to an angle of 3 radians in standard position 10 ( -3 - 2 ) O ( v 3 . - 13) O ( -2 -13 ) Question 11 (1 point) Kennedy was asked to solve the equation tan 0 = 1 over all real numbers. Below is Kennedy's solution: tan O = 1 9 : T 5TT Describe her error.Question 1 (1 point) Identify the expression that represents all angles that are coterminal with ~+ ik, KEZ b) ~+ ik, ke ~+2nck, kez d) ~+ 2nk, KER m O c ODQuestion 2 (1 point) Determine the exact value of COS 15" O 2V2 O 2 V2 O V6-VZ 6+ V2 Question 3 (1 point) Solve 6 cos x + 2 = 0 to three decimal places on the interval OSX S 2T x= 0.340, x =5.943 x = 1,231, x = 5,052 x = 1.911, x = 1,231Question 8 (1 point) Which expression is equivalent to tan-e- sin-@? sin 2ecos20 O sin etan20 O sin'e cos'e since cos-e Question 9 (1 point) Identify the quadrant in which 0 terminates if sec0 = -~ and sin 0 > 0. b) II c) III d) IVQuestion 11 (1 point) Kennedy was asked to solve the equation tan 0 = 1 over all real numbers. Below is Kennedy's solution: tan 9 = 1 9 : T 5TT 4 Describe her error. Par... .. . Question 12 (2 points) Given sin 0 = - and cose = _ V2 , justify that the value of tan (20) is undefined. . . . Question 13 (3 points) Prove the following identity for all permissible values of 0. 1 + cos 0 = sec 0 + tan- 0 +1 1 - sin 20Question 6 (1 point) If the angle 0 is 1600 in standard position, in which quadrant does it terminate? Quadrant Ill O Quadrant I.V Quadrant II Quadrant | Question 7 (1 point) Identify the trigonometric function that is equivalent to sin c in A cos ~ + cos sin 2Tt b) sin c) cos- 270 d) cos
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