Chapter 5 exam Practice
star
star
star
star
star
Last updated 8 months ago
7 questions
1
Find the equation of a circle with a center of (2,3) and a radius of 3.
_______
What are the x-intercepts of the circle?
_______ _______
What are the y-intercepts of the circle?
_______ _______
1
On a circle of radius 12 cm, find the following
a. Length of the arc that subtends a central angle of 120\degree?
_______
b. Area of a sector with a central angle of 120\degree?
_______
1
If (\theta)=\frac{2\pi}{3}, what are the exact values of the following:
\sin(\theta)=_______
\cos(\theta)=_______
\tan(\theta)=_______
\csc(\theta)=_______
\sec(\theta)=_______
\cot(\theta)=_______
1
If \cos(\theta)=\frac{2}{9} and \theta is in the fourth quadrant, calculate the following.
\sin(\theta)=_______
\tan(\theta)=_______
\csc(\theta)=_______
\sec(\theta)=_______
\cot(\theta)=_______
1
Prove the equation below is true
\frac{\csc^{2}(\theta)-1}{\csc^{2}(\theta)-\csc(\theta)}=1+\sin(\theta)
Prove the equation below is true
\frac{\csc^{2}(\theta)-1}{\csc^{2}(\theta)-\csc(\theta)}=1+\sin(\theta)
1
Solve for x
Solve for x
1
A 200 foot tall monument is located in the distance. From a window in a building, a person determines that the angle of elevation to the top of the monument is 15° and that the angle of depression to the bottom of the tower is 2°. How far is the person from the monument?
A 200 foot tall monument is located in the distance. From a window in a building, a person determines that the angle of elevation to the top of the monument is 15° and that the angle of depression to the bottom of the tower is 2°. How far is the person from the monument?