1. JMET Trigonometry (advanced)

3. Basic Trigonometric Identities Sums and Differences of angles Double Angles Triple Angles

4. Half Angles T – Formulae Let t = tan

6. Trigonometric Limits Differentiation of Trigonometric Functions

7. Integration of Trigonometric Functions

8. INVERSE TRIGNOMETRY Inverse Sin – Graph, Domain, Range, Properties

9. Inverse Cos – Graph, Domain, Range, Properties

10. Inverse Tan – Graph, Domain, Range, Properties

11. Differentiation of Inverse Trigonometric Functions

12. Integration of Inverse Trigonometric Functions

13. Sample Problems

15. Let (x) and [x] represent the fractional and integral components

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

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

23. All the best !