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1. The Six
Trigonometric
Functions

2. Basic Functions:

3. Three other functions may be found as
reciprocals of the three basic functions
are:

4. Pythagorean
Theorem

5. Pythagorean Theorem
> is a mathematical relationship
between the sides of a right
triangle which is any triangle that
has one right internal angle.

6. Pythagoras once stated that if
the length of the legs is
squared and their sum is
found, the sum will be equal
to the square of the
hypotenuse or longest side.

7. > A triangle has six parts – three sides
and three angles.
> The side opposite the right angle is
called hypotenuse (h) this is always the
longest side of the triangle.
> The opposite side it is opposite the
angle.
> The adjacent side it is near the angle.

8. Right Triangles

9. Example:
B
C A
3m
θ
7m
?
= 32 + 72
= 9 + 49
c2 =
c = 7.62m

10. Exercises:
Find the value of sides using Pythagorean
Theorem.
1.
B
C A
5m
6m
c
θ

11. Answer
c2 = a2 + b2
= 52 + 62
= 25 + 36
c2 =
c = 7.81m

12. 2.
θ
B
CA
a
12cm
10cm

13. Answer
a2 = c2 - b2
= 122 - 102
= 144 – 100
a2 =
a = 6.63cm

14. Activity
Answer the following:
1. a = 4in, b = ?, c = 9in
2. a = 6cm, b = 13cm, c = ?
3. a = 3cm, b = 2cm, c = ?

15. Assignment no. 4
Define the following:
• a. Angles of Elevation
• b. Angles of Depression
Reference: Advanced Algebra p.213