8/18/2019 The Unit Cricle and Radian Meassure Ch8 Test

1/1

IB Mathematics SL – 11th

 Grade Name: _____________________________

Test: The Unit Cricle and Radian Meassure – Ch8  Date: ______________________________

1. 

Convert these to radians in terms of :i. 

120° ii. 225° iii. 495° iv. 540°

2. 

Find all  values for

 such that:

i.    with a cosine of √   

ii.    and ()  

iii. 

For which () is undefined.iv.

 

For which ()  

3. 

Find the perimeter and area of the sector.

4. 

Suppose () √ √   and  is acute. Find the exact value of ().

5. 

i. 

Find the equation of the line drawn.

ii. 

Find the exact value of  given the point () lies on the line.a)

 

b)

6. 

Three circles with radius r are drawn as shown, each with its center on the

circumference of the other two circles. A, B and C are the centers of the

three circles. Find a expression for the area of the shaded region.

7. 

Evaluate:

i. 

()() 

ii. 

( ) 

iii. 

( ) 

8. 

Suppose  (), where  is acute (less than 90° or ). Write an expression in terms of  for:

i.  ( )  ii. () iii. () iv. ()