Elementary Trigonometry

Elementary Trigonometry

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1899 edition. Excerpt: ...= cos4A cosec2A. 3. Find the value of tan260-2 tan245-cot230 + 2 sin230 +-cosec245. 4 4. If secA=-2, what two values between 0 and 360 may A have? 5. Prove that (i.) (tan a + cosec bf-(cot b-sec of = 2 tan a cot b (cosec a + sec ft)..., cosA cot A.... (n.).. ... =z--r--7-(l+tan2A). sin A-2 sinJA 1-tan2A v' 6. If A be greater than two and less than three right angles, represent geometrically the complement of 180-A. 1. AB the diameter of a semi-circle is 2 inches long, and AP, AQ are chords which make angles of 60 and 30 respectively with AB. Find the lengths of BQ, BP, PQ. 2. Find the least positive value of A which makes 2 /3 cos2 A = sin A. G 1. If sin 0 =. find the value of sm-and cos20-sin20. x-+y cos 0 2. Trace the changes in sign and magnitude of sec A while A varies from 450" to 510. 3. Obtain the general value of 0 which satisfies sin20 + 5eos20=4. 4. Prove that cosec A (sec A-1) + sin A = cot A (1-cos A) + tan A. 5. If the angle A be known to be positive and less than 360, what possible values can it have when (i.) tan A =3, (ii.) tan =-l? 6. A ladder rests against a vertical wall at an angle 60 with the horizon. When the foot is drawn back 18 feet further from the wall the inclination to the horizon is found to be 30. Find the length of the ladder. H 1. Prove that (tan# + cot0)J is never less than four. 2. If tan A = tan B = prove that 4-J3 i + J6 3 (1 + tan A tan B) = 8 (tan A-tan B). 3. Trace the graphs for the interval 0 to 2ir of (i.) cos 2x-sinx, (ii.) sin a; + cos 4. Prove that tan 0 sec-0 + cot 0 cosec-0 + 2 sec 0 cosec 0 = (tan0 + cot0) sec20 cosec20. 5. Find all possible values of sin (4- + 3) 45 + A. 6. A ring 10 inches in diameter is suspended from a point one foot above its centre by...
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Product details

  • Paperback | 48 pages
  • 189 x 246 x 3mm | 104g
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236532732
  • 9781236532732