# Analytic geometry and principles of algebra by Alexander Ziwet, Louis Allen Hopkins

By Alexander Ziwet, Louis Allen Hopkins

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60. 61. 4 3 3 4 2 + cos2 0 - Ans. 300. Ans. 300, 600. Ans. 300. + 2(1 63. 3 tan2 0 - 4V3 + + + V3) cos tan 0 +4 + + 0 + V3 = O. Ans. 300. = O. O. Ans. 300, 450. Ans. 00, 450. = O. Ans. 300, 600. 64. 2 cos 0 - cot 0 = O. 66. 4 sin 2 0 - 5 sin 0 1 = O. 66. tan 0 (sec0 - V2) = V3 (see0 - V2). + + 67. 4 sin2 0 - 3V6 sin 0 3 = O. 68. 7 cos2 0 - 29 cos 0 + 4 = O. 69. 2 cos2 0 - sin 20 = O. 60. tan 0 see 0). 4 = 2(sin 0 + + 61. sin3 0 - cos3 0 = O. 62. 4 tan2 0 = 3 sec2 O. 63. tan 2 0 - 4 tan 0 1 = O.

51. A flagstaff stands upon the top of a building 150 ft. high. At a horizontal distance of 225 ft. from the base of the building the flagstaff subtends an angle of 6° 30'. Find the height of the flagstaff. 07 ft. 52. Two observers are stationed 1 mile apart on a straight Ans. east-and-west level road. An airplane flying north passes between them, and, as it is over the road, the angles of elevation are observed to be 72° 30' and 65° 15'. Find the height of the airplane. 29 miles. is 53. A ship is sailing due east at 16 miles per hour.

55. ~All the angles less than 360° that have the same absolute value for each of the trigonometric functions are called corresponding angles. In general, there are four such angles for each trigonometric function. For instance, if sin () is ! , then () = 30, 150,210, and 330°. These four angles are called the corresponding angles when the absolute value of sin () is ~. In general, the corresponding angles lie one in each quadrant, and have their terminal sides placed equally above and below the x-axis.

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