8/19/2019 Chapter 2 Circular Functions of Angles

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  rigonometry (Senior UEC Syllabus)

Chapter 2 Circular Functions of Angles

1. Rectangular Axes of Coordinates Y abscissa – horizontal axis

2nd  1st  ordinate – vertical axis

  X

3rd  4th 

2. e!nition of the Circular "unctions of A

#$$osite %&' h&$otenuse %z'

ad(acent %x'

a. sin A )

b. cos A )

c. tan A )

d. cosec A )

e. sec A )

f. cot A )

3. *he +ign of Circular "unctions

sin A is $ositive at 1st ,uadrant and 2nd ,uadrant- so does cosec A.cos A is $ositive at 1st ,uadrant and 4th ,uadrant- so does sec A.tan A is $ositive at 1st ,uadrant and 3rd ,uadrant- so does cot A.

xa/$le0

a. sin 141 )b. cos13 )

  *rigono/etr& %+enior iddle 1 +&llabus'

θ

8/19/2019 Chapter 2 Circular Functions of Angles

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  rigonometry (Senior UEC Syllabus)

Chapter 2 Circular Functions of Angles

c. tan 255 )

Exercise 2

1. eter/ine b& /easure/ent.a. sin 33b. tan 116c. sec 437d. cos 234e. cosec 382f. cot 36g. the angle bet9een 8 and 58- 9hose sin is 8.34.h. the angle bet9een 58 and 18- 9hose cos is :8.52.i. the angle bet9een 278 and 3;8- 9hose tan is :3.27.

 (. the angle bet9een 18 and 278- 9hose cosec is :1.37.