This document provides examples of trigonometric formulas to verify, show, prove, evaluate, and cancel trigonometric expressions and functions. It includes 10 examples showing steps to prove identities for sine, cosine, tangent, cotangent, and secant. The examples have blanks where the steps of each proof and evaluation are omitted. Key words highlighted include verify, show, prove, evaluate, and cancel.

1. OF
TRIGONOMET
RIC
FORMULAS
Aj. Tawan Thongsan
For EIS ROOM [M. 5/10 @2013]

2. KEY WORD IN TOPIC
 Verify That
 Show That
 Prove
 Blank about ….. lines.
 Evaluate
 Cancel

3. 


2
sinExample 1. Verify that cos =
prove
Blank about 5 lines.

4. 


2
cosExample 2. Show that sin =
prove
Blank about 5 lines.

5. Example 3. Show that
prove
Blank about 10 lines.
 



tantan1
tantan
tan




6. Example 4. Evaluate
prove
Blank about 7 lines.

15sin

7. Example 5. Evaluate
prove
Blank about 6 lines.
)
32
3
cos(



8. Example 6. Evaluate
prove
Blank about 12 lines.






12
7
cos


9. Example 7. Evaluate
prove
Blank about 12 lines.







12
sin


10. Example 8. If Find
prove
Blank about 7 lines.
7
3
sec x x2cos

11. Example 9. Evaluate
prove
Blank about 7 lines.
x3cos

12. Example 10. If Find
prove
Blank about 7 lines.
44.064cos  
32cos