Jmet Ppt4 Trigo

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Jmet Ppt4 Trigo

  1. 1. JMET Trigonometry (advanced)
  2. 2. <ul><li>This presentation is to be done only after you are comfortable with basic areas of Quant </li></ul><ul><li>This presentation covers almost all formulae that might be needed to crack questions in trigonometry. </li></ul><ul><li>There are a few sample problems which are illustrated, which have appeared in past papers. </li></ul><ul><li>Heights & Distances have also appeared frequently in the JMET paper and they have required only basic formulae </li></ul>Note :
  3. 3. Basic Trigonometric Identities Sums and Differences of angles Double Angles Triple Angles
  4. 4. Half Angles T – Formulae Let t = tan
  5. 6. Trigonometric Limits Differentiation of Trigonometric Functions
  6. 7. Integration of Trigonometric Functions
  7. 8. INVERSE TRIGNOMETRY Inverse Sin – Graph, Domain, Range, Properties
  8. 9. Inverse Cos – Graph, Domain, Range, Properties
  9. 10. Inverse Tan – Graph, Domain, Range, Properties
  10. 11. Differentiation of Inverse Trigonometric Functions
  11. 12. Integration of Inverse Trigonometric Functions
  12. 13. Sample Problems
  13. 14. <ul><li>If A, B and C are the angles of a triangle and </li></ul><ul><li>are in Arithmetic Progression, then the triangle is: </li></ul><ul><li>Right angled but not isosceles b. Isosceles but not right angled </li></ul><ul><li>c. Equilateral d. Right angled isosceles </li></ul>
  14. 15. Let (x) and [x] represent the fractional and integral components
  15. 20. A bucket is in the shape of an inverted truncated right-circular cone with a base radius of 20 cm, and height 356 cm. The base angles, of a vertical cross section through the centre of the base, are 135° each. It contains water whose height is 10 cm. A solid iron ball of radius cm is dropped into the bucket. Right triangles AHF and BIG are isoceles. ⇒ x=35cm ⇒2R=2x+40=110cm ⇒R=55cm
  16. 22. Few other samples An antenna stands in he middle of a square tower. A man on the ground, opposite the middle of the face of the tower and at a distance of 100 m from its foot, just seethe top of hate antenna; on reaching another 100 m, the tangents of elevation of the top of the tower and the antenna are found to be 1/2 and 5/9 respectively. the ground being horizontal the height of the antenna (in meters) is (neglect the height of the person for computations) a. 1000/9 b. 25 c. 50 d. 550/9
  17. 23. All the best !

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