Trig. Quiz Review

Unit Circle

100

Which trig function is equivalent to the 'x' on the unit circle?

sine

200

What is sine of  pi/6 ?

1/2 

300

What is the cosine of  (5pi)/4  ?

-sqrt(2)/2

400

What are the coordinates of the point on the unit circle at  (3pi)/2 ?

(0, -1)

500

What is the tangent of  (7pi)/6?

sqrt(3)/3

Converting Angles

100

Convert pi radians to degrees. 

180^@

200

Convert  130^@ to radians. 

(13pi)/18

300

Convert  245^@ to radians. 

(49pi)/36

400

Convert (19pi)/10 to degrees. 

342^@

500

Convert  -(15pi)/9  to degrees. 

-300^@

Amplitude

100

What is the amplitude of  y=sin(x) ?

1

200

Determine the amplitude of  y=3/2cos(x) .

3/2

300

Determine the range of  y=4sin(x) . Write your answer in interval notation.

[-4, 4] or 

-4<=y<=4

400

Determine the range of  y=4/5cos(x). Write your answer in interval notation.  

[-4/5, 4/5] 

500

Determine the range of  y=-19cos(x) . Write your answer in interval notation.

[-19, 19]

Trig. Functions

100

Write the equation of the sine function in terms of a right angle.

sin(theta)=o/h

200

What quadrant does  theta lie if the following are true? 

cos(theta)>0 and sin(theta)<0

IV 

300

What is the value of  tan(theta) when  sin(theta)=3/5  and  theta is in quadrant II?

-3/4

400

Determine the exact value of  tan(210^@) . (no decimals) 

sqrt(3)/3

500

For the point (3, -6), Determine  cos(theta) .

sqrt(5)/5

Reciprocal Trig Functions

100

What is the cosecant of an angle?

1/sin

200

If  csc(theta)>0 , which quadrant(s) could the terminal side of  theta lie?

Q1 and Q2

300

What is the value of   csc(theta)  when   sin(theta)=-3/5   and  theta is in quadrant IV?

-5/3

400

For the point (3, -6), Determine  sec(theta) .

sqrt(5)

500

For the point (3, -6), Determine  csc(theta). 

-sqrt(5)/2