9 + 4 = 13 5 12 θ sin = − 2 ⋅ 13 = − 2 13 13 13 −3) = 85. For the point (2, , 2 , x 13 = −3 , y = + r x2 y 2 4 + 9 = = cosθ = −3 ⋅ 13 = − 3 13 13 θ = −3 ⋅ sin 13 3 13 13 13 13 − 2 2 13 cscθ =− 13 13 θ = = tan 13 3 −3 3 cosθ = 2 ⋅ 13 = 2 13 13 13 secθ = 13 13 13 cscθ = = − 13 2 − 2 2 θ tan 3 13 13 θ = − cot 2 2 3 secθ = = − − 3 3 86. For the point (−1, −2) , = −1 x = − , 2 y θ = − = cot 3 3 , = + = r x2 y2 − 2 2 + = 1 4 5 θ sin = − 2 ⋅ 5 = − 2 = = − cscθ 5 5 For the point (2, 2) , = 2 , = 2 , 90. x y 5 = 8 2 5 5 5 2 = + 4 + 4 = r x2 − 2 2 = y 2 = −1 ⋅ = − cosθ 5 2 2 2 2 2 5 secθ = 5 = − 5 −1 5 5 5 = cscθ θ sin = ⋅ = = 2 2 2 2 2 2 θ θ tan = − 2 = 2 cot = −1 = 1 −1 − 2 2 = ⋅ = = = cosθ 2 2 2 secθ 2 2 2 2 2 2 2 2 θ = = θ = = tan 2 1 cot 2 1 2 2
9 + 4 = 13 5 12 sin θ = − 2 ⋅ 13 = − 2 13 85. For the point (2, −3) , x = 2 , y = −3 , 13 13 13 r = x2 + y 2 = 4 + 9 = 13 cosθ = −3 ⋅ 13 = − 3 13 sin θ = −3 ⋅ 13 3 13 13 cscθ =− 13 13 13 − 2 2 13 13 13 3 tan θ = = −3 3 cosθ = 2 ⋅ 13 = 2 13 secθ = 13 13 13 13 13 13 2 cscθ = = − − 2 2 tan θ 3 cot θ = − 2 13 13 2 3 secθ = = − − 3 3 86. For the point (−1, −2) , x = −1 , y = − 2 , cot θ = − 3 = 3 r = x2 + y2 = 1 + 4 = 5 − 2 2 sin θ = − 2 ⋅ 5 = − 2 5 cscθ = 5 = − 5 90. For the point (2, 2) , x = 2 , y = 2 , 5 5 5 − 2 2 r = x2 + y 2 = 4 + 4 = 8 = 2 2 cosθ = −1 ⋅ 5 = − 5 secθ = 5 = − 5 2 2 2 2 2 5 5 5 −1 sin θ = ⋅ = 2 2 2 cscθ = = 2 2 2 tan θ = − 2 = 2 cot θ = −1 = 1 −1 − 2 2 cosθ = 2 ⋅ 2 = 2 secθ = 2 2 = 2 2 2 2 2 2 tan θ = 2 = 1 cot θ = 2 = 1 2 2
62514-0132318806_ISM_02-1.docx