WORKSHEET_Draw Trigonometric Function Graph

8/3/2019 WORKSHEET_Draw Trigonometric Function Graph

1/7

Subject : Mathematics

Grade/Semester : X/II

Academic Year : 2011/2012

Time Allocation : 15 minutes

NAME : ...............................................................

GRADE : .......................................

ID : ......................................


2/7

Senior High School_X Grade_Semester II

STANDARD OF COMPETENCEUsing the trigonometric ratio, function, equation, and identity in problem

solving

BASIC COMPETENCEDesigning a mathematical model of the problem that relate to the

trigonometric ratio, function, equation, and identity

INDICATORDraw simple trigonometric function graphs

LEARNING OBJECTIVESTo determine trigonometric function value.

How to describe and sketch a trig graphs by observation of its

function.

How to identify a trigonometric function, given a sketch.

Know the tranformation effects of varying the values of a, b

and c.


3/7


Consider again the student book1. Complete the missing piece of the steps how to draw the following graph!

The graph of trigonometric function, like function sine, cosine, or tangent

can be drawn by using _________ and ________________for

extraordianry angles.

a. Drawing graph of function , for .The values of for extraordinary angles are shown in thefollowing table.

While to draw

and

can be carried out as follows,

If AB = BC = CD = 1

and

Then, AC = ..........

CD = ..........

To draw a line whose length is and

can be done with great road

bisects the line segment AC and AD.

From the table, the point pairs of (x, f(x)) or (x,y), which are (_,_), (_,_),

(_,_),_____________, (_,_).Further, the pairs of the point are drwan in

Cartesian coordianate by smooth curve so that the graph of function

, for is obtained.

F(x) 0o

30o

60o

90o

120o

150o

180o

210o

240o

270o

300o

330o

360o

Cos

x1 1/2 1/2 0 -1/2 -

1/2 -1-

1/2 -1/2 0 1/2 1/2 1

EXERCISE 1:

Note: completeness of the paintingsare as follows


4/7


b. Draw graph of function , for using theunit circle!

Match the function in the left column with the correct graph in right column!

Sine Function

______

______

______

EXERCISE 2:


5/7


______

______

Tangent Function______

______

______


6/7


1. Given the function answer the followingquestions:

What is the amplitude?

What is the period?What is the frequency?

Is there a horizontal shift? ____ If so, the sift is ____ units to the

left/right.

Is there a vertical shift?____ If so, the shift is____ units up/down.

2. Given the function answer the following questions:What is the amplitude?

What is the period?

EXERCISE 3:


7/7


What is the frequency?

Is there a horizontal shift? ____ If so, the sift is ____ units to theleft/right.

Is there a vertical shift?____ If so, the shift is____ units up/down.

Date : Score KnownName : Parents Student TeacherClass :

WORKSHEET_Draw Trigonometric Function Graph

Documents

Transcript of WORKSHEET_Draw Trigonometric Function Graph