Algebra II
posted by HotMath on .
Multiple Choice (theta) means the symbol 0 with the dash in it.
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 halfangle formula.
A.)(sq root2sq 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

looks like a test to me...

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