Math 240 Test 3 S/99

MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C8244A.13558250" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01C8244A.13558250 Content-Location: file:///C:/213799D3/sample-3.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Math 240 Test 3 S/99

Math 240 Sample 3 NO CALCULATOR

1. Draw the angles in parts a and b. = List the sine and cosine of these angles :

a. _{=
            &nb=
sp;            =
            &nb=
sp;          b. _{\* MERGEFORMAT}}

c. <= /span> Convert 68^o into radian = &nb= sp; d. Convert 7_{/12 radian into degree}

(leave your answer in term of₎

2. &nb= sp; A circular arc on a circle with radius 5km has a central angle of 70= ^o, find the length = of this arc.

(leave your answer in _.)

3. We have a pizza with 20" diameter. We want a slice with exactly 80 inch^{2. What is the central angle of this =
slice? Give you answer in radian in _{=
, and in degree (approx).}}

4. In problem 3, what is the length of the pizza crust, along the edge?

5. The radius of a pizza is 16 inches. The crust of a slice is 8 inches.<= span style=3D'mso-spacerun:yes'> How large is the area of the slice= ?

6. A slice of 50 inch² pizza has length of 5 inches along its crust.<= span style=3D'mso-spacerun:yes'> What is the total area of the pizz= a?

7. Find cos() - sin() + tan(), give the exact answer.

8. . Sketch the following graphs. Label the following: a. end points b. the mid-line c. the vertices (high points and l= ow points) Indicate = the new period and sketch at least one period.

a. y =3D - 3cos(= 3x)+2 = &nb= sp; = b. y =3D -2sin (x + π ) + 2

c. y =3D 3 sin(2x – π) + 1 = &nb= sp; = d. y =3D -4 cos (3x + π) – 1

10. Complete the following identities:

a. cot²(x) =3D ___^2 =– ___² b. co= s(x – y ) =3D = c. 1 – csc²(x) =3D = d. sin²(x) – = 1

11. Simplify each expression and leave the answer in sine and cosine.

a. sin^{2(x)(1
– csc²(x)) &nb=
sp;
b.}tan²(x)= (1 + cot²(x)) c. (csc(x)+cot(x)) (csc(x) –cot(x))

12. Verifying the following identities.

a. cos²(x)(1 &= #8211; sec²(x)) =3D cos2(x) – 1 = =

b. sin²(x)tan^{2<=
/sup>(x)
=3D tan²(x) – sin² (x)}

c. =

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