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Trigonometry/Precalculus ( R )

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Trigonometry/Precalculus ( R ) Author: Faculty Last modified by: Faculty Created Date: 3/7/2012 2:33:47 PM Document presentation format: On-screen Show – PowerPoint PPT presentation

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Title: Trigonometry/Precalculus ( R )


1
Trigonometry/Precalculus ( R )
  • Section 5.1 5.3 Pre-Test

2
Section 1
  • For an angle in standard position, determine a
    coterminal angle that is between 0 o and 360 o.
    State the quadrant in which the terminal side
    lies.

1. 145 o ________________ 2. 750 o
_________________
3
Section 2
  • Change each measure to degrees, minutes, and
    seconds.

3. 29.65 o ___________ 4. 121.21o
_____________
  • Change each measure to degrees.

5. 29 o 15 25 ___________ 6. 121o 32
48_________
4
Section 3
  • 7. The sine of an acute ? R of a right triangle
    is 3/5. Find the values of the other
    trigonometric ratios for this angle.

cos R _______, tan R _______, sec R
________, csc R ______, cot R ______
5
Section 4
  • 8. Use the unit circle to find the values of the
    six trig functions for each angle. Express exact
    values.

sin 210 ________ cos 210 ________ tan 210
________ csc 210 _________ sec 210
_______ cot 210 ________
6
Section 5
  • 9. Find the measure of the reference angle for
    each angle

235 o ________ 447 o ______ 1038 o _______
7
Section 6
  • 10. Suppose ? is an angle in standard position
    whose terminal side lies in the given quadrant.
    For each function, find the values of the
    remaining five trigonometric functions for ?.

sin ? - ¾ quadrant IV cot ? _______ , cos?
_______ , tan ? _______ , sec ? _______ ,
csc ? _______,
8
Section 7
  • 11. Given the coordinate of the terminal side of
    an angle, determine the exact function value for
    each of the six functions.

(5, -5) sin ? ________ , cos ? _________
, tan ? ______ , csc ? _______, sec ?
_______ , cot ? ______
9
Section 1
  • For an angle in standard position, determine a
    coterminal angle that is between 0 o and 360 o.
    State the quadrant in which the terminal side
    lies.

215o, QIII
30o , Q I
1. 145 o ________________ 2. 750 o
_________________
10
Section 2
  • Change each measure to degrees, minutes, and
    seconds.

29o 39 00
121o 12 36
3. 29.65 o ___________ 4. 121.21o
_____________
  • Change each measure to degrees.

29.257o
121.547o
5. 29 o 15 25 ___________ 6. 121o 32
48_________
11
Section 3
  • 7. The sine of an acute ? R of a right triangle
    is 3/5. Find the values of the other
    trigonometric ratios for this angle.

cos R _______, tan R _______, sec R
________, csc R ______, cot R ______
4/5
5/4
3/4
4/3
5/3
12
Section 4
  • 8. Use the unit circle to find the values of the
    six trig functions for each angle. Express exact
    values.

-v3/2
-1/2
sin 210 ________ cos 210 ________ tan 210
________ csc 210 _________ sec 210
_______ cot 210 ________
v3/3
- 2
v3
-2v3/3
13
Section 5
  • 9. Find the measure of the reference angle for
    each angle

55o
235 o ________ 447 o ______ 1038 o _______
87o
42o
14
Section 6
  • 10. Suppose ? is an angle in standard position
    whose terminal side lies in the given quadrant.
    For each function, find the values of the
    remaining five trigonometric functions for ?.

sin ? - ¾ quadrant IV cot ? _______ , cos?
_______ , tan ? _______ , sec ? _______ ,
csc ? _______,
- v7/3
v7/4
-3v7 /7
4v7 /7
-4 /3
15
Section 7
  • 11. Given the coordinate of the terminal side of
    an angle, determine the exact function value for
    each of the six functions.

(5, -5) sin ? ________ , cos ? _________
, tan ? ______ , csc ? _______, sec ?
_______ , cot ? ______
-v2 /2
v2 /2
-1
-v2
v2
-1
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