92. For the point (−0.3, −0.4) , = − 0.3 = − 0.4 x y , , 1 1 5 θ sin = , then cscθ = = 1⋅ = 5 . 0.09 + 0.16 0.25 = 0.5 5 ⎛ 1 ⎞ 1 = + = r x2 y2 ⎜ ⎟ = 101. If − 0.4 4 θ sin = − 0.4 = − = = − ⎝ ⎠ 4 cscθ 0.5 5 0.5 5 5 2 1 3 3 − 0.3 = − = − cosθ 0.3 3 θ cot = − 0.3 = 3 − 0.4 4 3 0.5 5 = = − secθ 0.5 = = = = 102. If cosθ , then secθ 1⋅ . 3 ⎛ 2 ⎞ 2 2 θ tan = − 0.4 = 5 ⎜ ⎟ ⎝ 3 ⎠ − 0.3 3 4 ( ) (135º ) ( ) ) (60º ) sin 45º + sin + sin 225º + = sin = 3 2 (315º ) 93. sin f (60º 103. 2 2 ⎛ 2 ⎞ ⎛ 2 ⎞ 1 = + + (60º ) (60º ) ⎜ − ⎟ + ⎜ − = = cos 104. g ⎟ 2 2 ⎝ = 0 2 ⎠ ⎝ 2 ⎠ 2
92. For the point (−0.3, −0.4) , x = − 0.3 , y = − 0.4 , 1 1 5 r = x2 + y2 = 0.09 + 0.16 = 0.25 = 0.5 101. If sin θ = , then cscθ = = 1⋅ = 5 . 5 ⎛ 1 ⎞ 1 ⎜ ⎟ sin θ = − 0.4 = − 4 0.5 5 cscθ = 0.5 = − 5 − 0.4 4 ⎝ 5 ⎠ 2 1 3 3 cosθ = − 0.3 = − 3 0.5 5 tan θ = − 0.4 = 4 − 0.3 3 secθ = 0.5 = − 5 − 0.3 3 cot θ = − 0.3 = 3 − 0.4 4 102. If cosθ = , then secθ = = 1⋅ = . 3 ⎛ 2 ⎞ 2 2 ⎜ ⎟ ⎝ 3 ⎠ 93. sin ( 45º ) + sin (135º ) + sin ( 225º ) + sin (315º ) 103. f (60º ) = sin (60º ) = 3 2 2 2 ⎛ 2 ⎞ ⎛ 2 ⎞ 1 = + + ⎜ − ⎟ + ⎜ − ⎟ 104. g (60º ) = cos (60º ) = 2 2 ⎝ = 0 2 ⎠ ⎝ 2 ⎠ 2
62514-0132318806_ISM_02-1.docx