Multiple Choice (theta) means the symbol 0 with the dash in it.

Question

1.)Which expression is equivalent to tan(theta)-(sec(theta))/(sin(theta))?

A.)-cot(theta)
B.)cot(theta)
C.)tan(theta)-cot(theta)
D.)tan(theta)-sec^2(theta)

2.)Find the exact value of:cos 375 degrees

A.)(sq root 6- sq root 2)/4
B.)(sq root 6 + sq root 2)/4
C.)(sq root 2 - sq root 6)/4
D.)-(sq root 2 - sq root 6)/4

3.)Which expression is equivalent to: cos ((theta)+pie/2).

A.)cos (theta)
B.)-cos(theta)
C.)sin(theta)
D.)-sin(theta)

4.)Find the exact value of sin 2(theta) if cos(theta)=(- sq root5)/2 and 180 degrees<(theta)<270 degrees.

A.)-1/9
B.)(-4 sq root 5)/9
C.)1/9
D.)(4 Sq root 5)/9

5.)Find the exact value of sin (theta)/2 if cos(theta)=2/3 and 270 degrees<(theta)<360 degrees.

A.)1/3
B.)-1/3
C.)sq root 6/6
D.)(- sq root 6)/6

6.)Find the exact value of cos105 degrees by using a half-angle formula.

A.)(sq root2-sq root 3)/2
B.)-(sq root 2- sq root 3)/2
C.)-(sq root 2+ sq root 3)/2
D.)(sq root 2+ sq root 3)/2

7.)Find the solution of sin2 (theta)=cos (theta) if (theta degrees)<=(theta)<180 degrees.

A.)30 degrees and 90 degrees
B.) 30 degrees and 150 degrees
C.)30 degrees, 90 degrees, 150 degrees
D.)0 degrees, 90 degrees, and 150 degrees

8.)An insect population P in a certain area fluctuates with the seasons. it is estimated that P=17,000+4500sin(pie t)/52, where t is given in weeks. Determine the number of weeks it would take for the population to initially reach 20,000.

A.)12 weeks
B.)692 weeks
C.)38 weeks
D.)42 weeks

Answer 1

looks like a test to me...

Answer 2

1.)A
2.)B
3.)D
4.)D
5.)C
6.)B
7.)C
8.)A