WORKSHEET Identity Trigonometric

5
Subject : Mathematics Grade/Semester : X/II Academic Year : 2011/2012 Time Allocation : 20 minutes GROUP : ....................... NAME : ............................................................... GRADE : ....................................... ID : ......................................

Transcript of WORKSHEET Identity Trigonometric

Page 1: WORKSHEET Identity Trigonometric

Subject : Mathematics

Grade/Semester : X/II

Academic Year : 2011/2012

Time Allocation : 20 minutes

GROUP : .......................

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

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

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

Page 2: WORKSHEET Identity Trigonometric

Senior High School_X Grade_Semester II

STANDARD OF COMPETENCE

Using the trigonometric ratio, function, equation, and identity in problem solving

BASIC COMPETENCE

Designing a mathematical model of the problem that relate to the trigonometric ratio, function, equation, and identity

INDICATOR

Prove Simple Trigonometric Identity

LEARNING OBJECTIVES

To prove simple trigonometric identity .

LEARNING ACTIVIYIES

Each member read the material in the Student Book: Trigonometric Identity.

Leader leads discussion about: The proving of trigonometric identity. The solution of trigonometric identity problems with

Problem Solving approach in worksheet. Describe the solutions that are common to problem

Each member has to know about the finding the solution of that solution. If there is an unclear problem, ask a teacher.

Write down the group conclusion in worksheet. Each group presents their result in front of class and the other

groups pay attention.

.

Page 3: WORKSHEET Identity Trigonometric

Senior High School_X Grade_Semester II

Considering trigonometric ratios formula, prove the base trigonometric

identities of each following below:

a.

b.

c.

Answer:

....................................................................................

....................................................................................

,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..........

,...........................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................

EXERCISE 1 :

Just a Reminder

Page 4: WORKSHEET Identity Trigonometric

Senior High School_X Grade_Semester II

1. Prove: 2. Prove:

Answer:

....................................................................................

....................................................................................

,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..........

.....................................................................................

....................................................................................

............................................................................................................................................................

.............................................................................................................................................

USEFUL SUGGESTIONS FOR PROVING TRIGONOMETRIC IDENTITIES

EXERCISE 2:

You will need to use the following identities:

Page 5: WORKSHEET Identity Trigonometric

Senior High School_X Grade_Semester II

Simplify the fractions:

a.

b.

c.

Answer:

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

............................................................................................................................................................

...........................................................................................................................................................

Date : Score Known

Name : Group Individu Parent’s Student Teacher Class :

Group :

EXERCISE 3: