⎛ 5 ⎞ ⎛ ⎞ ⎜ − ⎟ cos = = 2 2 t x = = ⎝ ⎠ = − − = cot 3 5 3 5 t x 3 ⎛ 2 ⎞ y ⎜ ⎟ 3 2 2 ⎜ − ⎟ ⎝ ⎠ ⎛ − 1 ⎞ ⎝ ⎠ tan = = ⎝ ⎠ t = − ⋅ 1 3 ⎛ 2 2 ⎞ x 19. 3 2 2 sin ⎛ 11π ⎞ = sin ⎛ 3π + 8π ⎞ ⎜ 3 ⎟ ⎝ ⎠ ⎝ ⎠ 2 2 2 ⎝ ⎠ = ⎛ + ⎞ sin 3π 4π − = 1 ⎜ 2 ⎟ ⋅ − 2 = 2 2 2 2 4 ⎝ ⎠ = sin ⎛ 3π + 2 ⋅ 2π ⎞ csc = 1 = 1 t = 1⎛ − 3 ⎞ = ⎜ ⎟ ⎛ 1 ⎞ y ⎜ ⎟ ⎝ ⎠ 1 2 ⎜ − ⎟ ⎝ ⎠ ⎝ ⎠ = sin ⎛ 3π ⎞ sec = 1 = 1 = 1⎛ 3 ⎞ = 3 ⋅ 2 = 3 ⎝ ⎠ t 2 = −1 2 ⎛ 2 2 ⎞ x ⎜ ⎟ 2 2 2 4 ⎜ 3 ⎟ ⎝ ⎠
⎛ 5 ⎞ ⎜ − ⎟ ⎛ ⎞ cos t = x = 2 2 cot t = x = ⎝ 3 ⎠ = − 5 − 3 = 5 3 y ⎛ 2 ⎞ 3 ⎜ 2 ⎟ 2 ⎛ − 1 ⎞ tan t = = ⎝ ⎠ = − 1 ⋅ 3 ⎜ − ⎟ ⎝ ⎠ ⎝ ⎠ x ⎛ 2 2 ⎞ 3 2 2 19. sin ⎛ 11π ⎞ = sin ⎛ 3π + 8π ⎞ ⎜ 3 ⎟ ⎝ 2 ⎠ ⎝ 2 2 ⎠ ⎝ ⎠ = sin ⎛ 3π + 4π ⎞ = − 1 ⋅ 2 = − 2 ⎜ 2 ⎟ 2 2 2 4 ⎝ ⎠ = sin ⎛ 3π + 2 ⋅ 2π ⎞ csc t = 1 = 1 = 1⎛ − 3 ⎞ = ⎜ ⎟ y ⎛ 1 ⎞ ⎜ 1 ⎟ ⎝ 2 ⎠ ⎜ − ⎟ ⎝ ⎠ ⎝ ⎠ sec t = 1 = 1 = 1⎛ 3 ⎞ = 3 ⋅ 2 = 3 2 = sin ⎛ 3π ⎞ ⎝ 2 ⎠ = −1 x ⎛ 2 2 ⎞ ⎜ ⎟ 2 2 2 4 ⎜ 3 ⎟ ⎝ ⎠
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