This document discusses trigonometric ratios and right triangles. It defines the parts of a right triangle as the hypotenuse, legs, and right angle. It then explains the six trigonometric ratios - sine, cosine, tangent, cotangent, secant, and cosecant - in terms of the opposite, adjacent, and hypotenuse sides of a right triangle with a given angle. Examples are given of finding the six trigonometric ratios for different right triangles.

1. 6 TRIGONOMETRIC
RATIO
NESTOR B. PUNO, JR.

2. What are the parts of a right triangle?
hypotenuse
leg
base
right angle

3. θ

4. Let’s name the parts with regards to angle C.
θ

5. Let’s name the parts with regards to angle A.
θ

6. Given a right triangle, name each parts.
θ

7. Given a right triangle, name each parts.
θ

8. REMEMBERRRRRRRR!!!!!!
HYPOTENUSE is the longest
side of a right triagle. It is the
opposite side of a right angle

9. REMEMBERRRRRRRR!!!!!!
OPPOSITE is the side found
opposite the given angle or teta.

10. REMEMBERRRRRRRR!!!!!!
ADJACENT is the side found
between the right angle and the
given angle/teta.

11. 6 TRIGONOMETRIC RATIOS
SOH
Sin θ = opposite
hypotenuse

12. 6 TRIGONOMETRIC RATIOS
CAH
Cos θ = adjacent
hypotenuse

13. 6 TRIGONOMETRIC RATIOS
TOA
Tan θ = opposite
adjacent

14. 6 TRIGONOMETRIC RATIOS
CosHO
Csc θ = hypotenuse
opposite

15. 6 TRIGONOMETRIC RATIOS
SeHA
Sec θ = hypotenuse
adjacent

16. 6 TRIGONOMETRIC RATIOS
CotAO
Cot θ = adjacent
opposite

17. Given a right triangle, find the 6 trigonometric
ratios.
Hyp = s
Adj = t
Opp = n
θ

18. Given a right triangle, find the 6 trigonometric
ratios.
θ

19. Given a right triangle, find the 6 trigonometric
ratios.
θ

21. Draw a right triangle using the given information
and find the 6 trigonometric ratios.
1. Draw triangle PQR with right angle at
Q and teta at P.
2. Draw triangle LMNwith right angle at
M and teta at N.

22. ASSIGNMENT
•Draw a right triangle NST with the
sides measure 3 cm, 4 cm, and 5 cm
respectively. The teta will be at angle
T. Find its 6 trigonemtric ratios.