Algebraic Manipulations and Formulas Trigonometric Functions Worksheet

Company: Google Problem: High turn over rates

Prompt: In task 3-2, you will submit a presentation describing your diagnosis of at least one problem within the selected organization.

The format should be a  three- to four-slide presentation.

Guidelines for Presentations: The development of concise, professional presentations suitable for presenting to the leadership of a client organization is an  important component of an organizational consultant’s role. For each presentation, the content should clearly address the specific goal. The target audience is  the client, so the slides should be written in an effort to persuade the client to agree with your point of view. No matter how extensive the research or accurate  the conclusions, a weak presentation can undermine an argument. When creating presentations, you will develop skills in researching an issue, synthesizing the  information, organizing data logically, and presenting findings in an effective manner.

? You may use a product such as PowerPoint, Google Presentation, or Prezi to create your presentations.

? There are various template designs that you can find on the web for your presentation. Consider your presentation from the perspective of your  audience prior to selecting a specific style. Avoid distractions. Be consistent with the style of text, bullets, and subpoints to support a powerful  presentation that allows your content to be the focus.

? Each slide should include your key point(s). Do not place large blocks of text on the visual.

? Use clip art, AutoShapes, pictures, charts, tables, and diagrams to enhance but not overwhelm your content.

 ? Be mindful of the intended audience. Teacher: Mr. Gao
Algebraic Manipulations and Formulas
MCV4U
Mathematics MHF4U Advanced Functions
– Algebraic Manipulations and Formulas
Exact Values
/ 12
Unit Circle
/8
/4
Formulas
/6
/ 20
/3
/ 10
/4
/ 10
Total
1.
/3
/ 40
(Exact Value I) Find the exact value of each of the following. Procedures are
mandatory; correct answer will receive half a mark (8 marks).

a)
sin
3
4
b)
− tan
c)
csc
5
3
d)
 11 
cos  −

 3 
e)
tan
17
6
f)
cot
g)
− sin
h)
 4 
− csc  −

 3 
19
6
3

2
Teacher: Mr. Gao
Algebraic Manipulations and Formulas
MCV4U
(Exact Value II) Find the exact value of each of the following. Procedures are
required. Correct answer is worth only one mark (12 marks).
a)
sin
17
12
b)
2 tan
c)
sec
−5
12
d)
cos

8

16
Teacher: Mr. Gao
2.
Algebraic Manipulations and Formulas
(Unit Circle I) Given sin  = −
MCV4U
12
3
, and cos  = . If  and  belong in the
13
5
same quadrant, determine the exact value of csc ( −  ) (4 marks).
3.
 
(Unit Circle II) If tan 2 = 3 , where 2   0,  , find the exact value of
 2
tan 4 (3 marks), and the exact value of tan  (3 marks).
Teacher: Mr. Gao
Algebraic Manipulations and Formulas
4.
(Trig Formulas I) Derive a formula for cos3x in cos x (3 marks).
5.


(Trig Formulas II) Simplify 1 + 6sin  cos  − 2sin 2  −   (3 marks).
4

6.
(Trig Formulas III) Derive tan ( A + B ) =
MCV4U
tan A + tan B
, given the subtraction
1 − tan A tan B
formula of cosine and the co-functional identities (4 marks).