document.write( "Question 145209: 5: For questions 5 – 14: Solve each of the following for y in radians. Use a calculator for exercises 9 and 10, with 3.1416 as an approximation for π.\r
\n" ); document.write( "\n" ); document.write( "y = arctan 1
\n" ); document.write( "π/7
\n" ); document.write( "π/4
\n" ); document.write( "2π/5
\n" ); document.write( "2π/2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "6: y = arcsin (sqrt 2)/2
\n" ); document.write( "π/4
\n" ); document.write( "4π/2
\n" ); document.write( "sqrt π
\n" ); document.write( "sqrt(4π)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "7: y = arccot (-sqrt 3)/3
\n" ); document.write( "2/3π
\n" ); document.write( "-π
\n" ); document.write( "2π/3
\n" ); document.write( "π/9 \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "8: y = arcos (-sqrt 3)/2
\n" ); document.write( "-6π
\n" ); document.write( "-3π/2
\n" ); document.write( "π/2
\n" ); document.write( "5π/6\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "9: y = arccot 1.804
\n" ); document.write( ".5062
\n" ); document.write( ".6
\n" ); document.write( ".4708
\n" ); document.write( "5.6\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "10: y = arccos -.3090
\n" ); document.write( "1.914
\n" ); document.write( "1.252
\n" ); document.write( "1.8849
\n" ); document.write( ".889\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "11: y = tan (arcsin -3/5)
\n" ); document.write( "4/3
\n" ); document.write( "3/5
\n" ); document.write( "-2/3
\n" ); document.write( "-3/4\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "12: y = cos (arccot 12/5)
\n" ); document.write( "-12/5
\n" ); document.write( "12/13
\n" ); document.write( "-4
\n" ); document.write( "¾\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "13: y = sin (arccos 2/3 + arctan 1)
\n" ); document.write( "(sqrt 10 + 2sqrt2)/6
\n" ); document.write( "10 + sqrt 2
\n" ); document.write( "6/(10 + 2sqrt2)
\n" ); document.write( "(sqrt 10 + sqrt2)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "14: y= cos (arcsin ½ + arcsin 2/3)
\n" ); document.write( "(sqrt15 – 2)/6
\n" ); document.write( "(sqrt1/2)/15
\n" ); document.write( "2/3
\n" ); document.write( "-sqrt6\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "15: For questions 15 – 19: Solve each of the following equations for 0° ≤ θ < 360°.\r
\n" ); document.write( "\n" ); document.write( "2 cos θ = 1
\n" ); document.write( "280°
\n" ); document.write( "60°; 360°
\n" ); document.write( "40°
\n" ); document.write( "60°; 300°\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "16: (tan θ + 1) (sec θ – 1/2) = 0
\n" ); document.write( "120°; 300°
\n" ); document.write( "135°; 315°
\n" ); document.write( "65°; 300°
\n" ); document.write( "215°\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "17: sin2 θ + 3 sin θ + 2 = 0
\n" ); document.write( "270°
\n" ); document.write( "275°; 215°
\n" ); document.write( "119°
\n" ); document.write( "207°\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "18: sin θ/cos θ = tan2 θ
\n" ); document.write( "0°; 45°; 90°; 180°; 225°
\n" ); document.write( "180°; 225°
\n" ); document.write( "0°; 45°; 180°; 225°
\n" ); document.write( "45°; 225°\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "19: 4 sin θ cos θ = 1
\n" ); document.write( "90°; 145°; 225°
\n" ); document.write( "15°; 75°; 195°; 225°
\n" ); document.write( "25°; 145°
\n" ); document.write( "90°; 275°; 95°; 325°\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "20: For questions 20-23: Solve each of the following for x. \r
\n" ); document.write( "\n" ); document.write( "3y = 2 cos x + 1
\n" ); document.write( "x = arccos ((3y – 1)/2)
\n" ); document.write( "x = cos (3y/2)
\n" ); document.write( "x = 12
\n" ); document.write( "x = arccos ((2x +1)/3)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "21: 2y = tan (x+3)
\n" ); document.write( "x = 2 arctan (y-3)
\n" ); document.write( "x = (arctan 2y) - 3
\n" ); document.write( "x = tan2 3
\n" ); document.write( "x = arctan (2/3)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "22: Arctan x = arccot 1
\n" ); document.write( "x = 1
\n" ); document.write( "x = cot (2/3)
\n" ); document.write( "x = -1
\n" ); document.write( "x = 12\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "23: Arcsin x – arccos 1 = π/3
\n" ); document.write( "x = (sqrt3)/2
\n" ); document.write( "x = 3/2
\n" ); document.write( "x = - π/3
\n" ); document.write( "x = 1
\n" ); document.write( " \n" ); document.write( "
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