61. The point on the unit circle that corresponds to 63. The point on the unit circle that corresponds to θ = −45º ⎛ 2 2 ⎞ (0, is ⎜ , − ⎟ . π θ = 5π = 450º is 1) . 2 4 ⎝ cos 5π = csc 5π = 1 = 1 2 2 ⎠ 0 2 1 (−45º ) sin = − 2 sec 5π = 1 = not defined 2 2 sin 5π = 1 (−45º ) cos = 2 tan 5π = = 1 not defined 2 2 0 ⎛ ⎞ 2 5π 0 ⎜ − ⎟ (−45º ) tan = ⎝ 2 ⎠ = − 2 ⋅ 2 = 2 −1 0 2 = 0 ⎛ 2 ⎞ 2 2 2 1 cot = ⎜ 2 ⎟ ⎝ ⎠ (−45º ) csc = 1 = 1⋅ ⎛ − 2 ⎞ ⋅ 2 = − 2 64. The point on the unit circle that corresponds to ⎛ 2 ⎞ (−1, θ = 5π = is 0) . 900º ⎜ 2 ⎟ 2 = sin 5π ⎜ − ⎟ ⎝ ⎠ = = csc 5π 1 not defined 0 ⎝ ⎠ 0 (−45º ) sec = 1 = 1⋅ 2 ⋅ 2 = 2 1 ⎛ 2 ⎞ 2 2 = sec 5π = −1 = −1 cos 5π ⎜ ⎟ −1 2 ⎝ ⎠ ⎛ 2 ⎞ ⎜ ⎟ = = tan 5π 0 −1 = not defined cot 5π 0 0 = (−45º ) cot = ⎝ 2 ⎠ ⎛ 2 ⎞ = 65. The point on the unit circle that corresponds to − −1 ⎜ 2 ⎟ (1, is 0) . θ = = 720º 4π ⎝ ⎠ sin 720º = csc 720º = 1 = not defined 62. The point on the unit circle that corresponds to 0 0 θ = − = − 60º ⎛ 1 3 ⎞ = cos 720º ⎜ − ⎟ is , . sec 720º = 1 = 1 π 1
61. The point on the unit circle that corresponds to 63. The point on the unit circle that corresponds to θ = −45º π ⎛ 2 2 ⎞ is ⎜ , − ⎟ . θ = 5π = 450º is (0, 1) . 4 ⎝ sin (−45º ) = − 2 2 2 2 ⎠ 2 sin 5π = 1 2 cos 5π = 0 csc 5π = 1 = 1 2 1 sec 5π = 1 = not defined cos (−45º ) = 2 2 ⎛ 2 ⎞ ⎜ − ⎟ tan (−45º ) = ⎝ 2 ⎠ = − 2 ⋅ 2 = −1 2 tan 5π 2 5π 2 0 = 1 = not defined 0 0 ⎛ 2 ⎞ 2 2 cot 2 = = 0 1 ⎜ 2 ⎟ ⎝ ⎠ csc (−45º ) = 1 = 1⋅ ⎛ − 2 ⎞ ⋅ 2 = − 2 64. The point on the unit circle that corresponds to ⎛ 2 ⎞ ⎜ 2 ⎟ 2 θ = 5π = 900º is (−1, 0) . ⎜ − ⎟ ⎝ ⎠ ⎝ ⎠ sin 5π = 0 csc 5π = 1 = not defined 0 sec (−45º ) = 1 = 1⋅ 2 ⋅ 2 = 2 1 ⎛ 2 ⎞ 2 2 cos 5π = −1 sec 5π = = −1 ⎜ 2 ⎟ −1 ⎝ ⎠ ⎛ 2 ⎞ ⎜ ⎟ tan 5π = 0 = 0 cot 5π = −1 = not defined 0 cot (−45º ) = ⎝ 2 ⎠ ⎛ 2 ⎞ − = −1 65. The point on the unit circle that corresponds to ⎜ 2 ⎟ θ = 720º = 4π is (1, 0) . ⎝ ⎠ 62. The point on the unit circle that corresponds to sin 720º = 0 csc 720º = 1 = not defined 0 θ = − 60º = − π ⎛ 1 3 ⎞ is ⎜ , − ⎟ . cos 720º = 1 sec 720º = 1 = 1
62514-0132318806_ISM_02-1.docx