Answers to homework 5

Reading left to right, top to bottom

cos120° = -1/2 ||| tan225° = 1 ||| sin330° = -1/2 ||| cot240° = sqrt(3)/3


csc150° = 2 ||| sec210° = -2sqrt(3)/3 ||| sin135° = sqrt(2)/2 ||| tan300° = -sqrt(3)


cot315° = -1 ||| sin225° = -sqrt(2)/2 ||| sec270° = not defined ||| csc240° = -2sqrt(3)/3


a = 2, b = 3, gamma = 30°
Answer: c = sqrt(13 - 6sqrt(3)) ~= 1.6148
 a = 2, b = 3, gamma = 45°
Answer: c = sqrt(13 - 6sqrt(2)) ~= 2.1248

a = 2, b = 3, gamma = 60°
Answer: c = sqrt(7) ~= 2.6458

a = 2, b = 3, gamma = 90°
Answer: c = sqrt(13) ~= 3.6056

a = 2, b = 3, gamma = 120°
Answer: c = sqrt(19) ~= 4.3589

a = 2, b = 3, gamma = 135°
Answer: c = sqrt(13 + 6sqrt(2)) ~= 4.6352

a = 2, b = 3, gamma = 150°
Answer: c = sqrt(13 + 6sqrt(3)) ~= 4.8366