mathematics symposium

1. WELCOME

2. HARILAL KRISHNA VISHNU K N AMITH KUMAR SANOOJ SAURAV S K Trigonometry

3. WHICH SO OCCUPIES THERE IS PERHAPS NOTHING THE MIDDLE POSITION OF MATHEMATICS AS TRIGONOMETRY - J.F.HERBART

14. TRIGONOMETRIC RATIOS

16. TRIGONOMETRIC RATIOS

21. Opposite side: the side opposite the angle angle angle angle opposite opposite opposite opposite angle

22. Adjacent side: the side beside the angle adjacent adjacent adjacent adjacent angle angle angle angle

23. Hypotenuse: the longest side hypotenuse hypotenuse hypotenuse hypotenuse

24. Tangent of angle A A B 90 o C a c b tan( A ) = opposite adjacent a b =

25. Tangent of angle B A B 90 o C a c b tan( B ) = opposite adjacent b a =

26. Sine of angle A A B 90 o C a c b sin( A ) = = a c opposite hypotenuse

27. Sine of angle B A B 90 o C a c b sin( B ) = = b c opposite hypotenuse

28. Cosine of angle A A B 90 o C a c b cos( A ) = = b c adjacent hypotenuse

29. Cosine of angle B A B 90 o C a c b cos( B ) = = a c adjacent hypotenuse

30. Example 1 Find all the angles x, where 0 < x < 4 π where sin x = 0.5 Principle value: Using symmetry: Using periodicity: