the slides uploaded above are a way to learn and master the basics of trigonometry, the explain and define all three triangles and the hypotenuse rule, which is the Pythagoras.

1. TRIGONOMETRY
GRADE 10
THEOREM OF PYTHAGORAS AND BASIC TRIGONOMETRIC RATIOS

2. Types of Triangles you’ve learnt in
the previous Grades
1. Scalene: is a triangle which has all three sides not
equal .
2. Isosceles: an isosceles triangle has two that are
equal.
3. Equilateral: all sides equal
4. Right-angled: 90º

4. STATE THEOREM OF PYTHAGORAS
IN WORDS
THE THEOREM OF PYTHAGORAS STATES THAT IN ANY
RIGHT-ANGLED TRIANGLE, THE SQUARE OF
HYPOTENUSE IS EQUAL TO THE SUM OF THE SQUARES
OF THE OTHER TWO SIDES.
Therefore, Theorem of Pythagoras applies to Right-
angled triangles only.

5. NAME THE SIDES OF THIS
TRIANGLES
AB = Hypotenuse
BC = Opposite
AC = Adjacent

6. DEFINE THIS TRIANGLE USING
THEOREM OF PYTHAGORAS
AB² = BC² + AC²

7. TAKE OUT YOUR CALCULATORS
Sin??
Cos??
Tan??

8. TRIGONOMETRIC RATIOS OF A
RIGHT ANGLES

9. SOHCAHTOA
•Do you know what this stands for?

10. LETS RECAP
• State the Theorem of Pythagoras in words.
• What are the three trigonometric ratios we learnt today?
• Which triangle applies to Theorem of Pythagoras?

11. ACTIVITY
If you get it correct, you get it…

12. .
Investigate on the reciprocals of the 3 trigonometric
ratios.

13. .
QUESTIONS & COMMENTS

14. THANK YOU!!!
See you tomorrow

16. REFERENCES
• Weisstein, Eric W. "Equilateral Triangle". MathWorld.
• ^ Jump up to:a b Weisstein, Eric W. "Isosceles Triangle". MathWorld.
• Jump up^ Weisstein, Eric W. "Scalene triangle". MathWorld
• Judith D. Sally; Paul Sally (2007). "Chapter 3: Pythagorean triples". Roots to research:
a vertical development of mathematical problems. American Mathematical Society
Bookstore. p. 63. ISBN 0-8218-4403-2.
• "trigonometry". Online Etymology Dictionary.
• Jump up^ R. Nagel (ed.), Encyclopedia of Science, 2nd Ed., The Gale Group (2002)
• Jump up^ Boyer (1991). "Greek Trigonometry and Mensuration". A History of
Mathematics. p. 162.