Hi I'm having a hard time with this problem set.

Question 1: (5 points)

Find the center and the radius of the circle with the equation.

x^2 + 4x+y^2 + 6y- 36 = 0

Enter the center as an ordered pair (x, y).

The center is __________

The radius is ____________

Show your work and explain, how you arrived at your answers.

__________

Question 2: (3 points)

Consider the value of the trigonometric function.

sin(/4)

Its value is.

__________

Now find the exact value of that trigonometric function.

sin(/4)=__________

Question 3: (3 points)

Find the reference angle, the quadrant of the terminal side, and the sine and cosine of225.

Enter the exact answers.

The terminal side of the angle225lies in quadrant__________.

Its reference angle is____________.

sin(225)=______________

cos(225)=________________

Question 4: (3 points)

Find the reference angle, the quadrant of the terminal side, and the sine and cosine of3/4.

Enter the exact answers.

The terminal side of the angle3/4lies in quadrant__________.

For the number, either choosefrom the drop-down menu (under)or type in Pi (with a capital P).

Its reference angle is__________.

sin(3/4)=______________

cos(3/4)=______________

Question 5: (3 points)

A child enters a carousel that takes one minute to revolve once around. The child enters at the point(0,1), that is, on the due north position. Assume the carousel revolves counterclockwise.

What are the coordinates of the child after45seconds?

Enter the exact answer as a point,(a,b).

__________

Question 6: (3 points)

Evaluatecsc(/4).

Enter the exact answer.

csc(/4)=__________

Question 7: (3 points)

Iftant= 3/4and

Enter the exact answers.

sint=_______________

cost=______________

sect=______________

csct=_______________

cott=______________

Question 8: (6 points)

Use the point on the unit circle to find the value of the three trigonometric functions below.

\fUJ X 3 x 3 x 1 7- - II - 2 2 2 -7 -93 2 H II II X 3 12 - 1 12 WA -2 -3