Chapter 6- Trigonometric functions

Objective: Converting angle from degrees to radians and radians to degrees

                                      

Transformations of graphs

Examples: 

Q 1:   Sketch y = sinx

Answer: 

Q2:  Sketch y = sin3x by using transformations.

Answer:

Conclusion: 3 loops comes in a period.
(Explained on graph)

Explained by transformations
f(bx)
Horizontal compression
Pulls x value away from y.
______________________________________________________

Q3: Sketch y = 2+ sinx by using transformations.

Answer:

Conclusion: Sinx curve moves 2 units up.
f(x) + k
Vertical translation
Moves up by k units
Add k to y coordinate , that is ( x, y+k )

______________________________________________________

Q3: Sketch y = 2cosx by using transformation

Conclusion

a f(x)
Vertical stretch
pulls y values away from x
Multiply y coordinate by a
______________________________________________________

More graphs

Trigonometric Identities.

 

Proving trigonometric Identities

Finding trigonometric angles within a given range:

You can also look into

http://www.mathsisfun.com/sets/function-transformations.html