#### Question Details

##### [solution] » PLEASE HELP answer all questions pls. Permutations and

**Brief item decscription**

Step-by-step solution file

**Item details:**

PLEASE HELP answer all questions pls. Permutations and**More:**

**PLEASE HELP answer all questions pls. Permutations and Combinations questions along with a review sheet. **

Lesson D - Assignment Booklet

Lesson D - Assignment Booklet

Mathematics 30-1: Unit 2

Back to Baker Street?

Complete the Back to Baker Street assignment. Refer to the Tips From

Scotland Yard located at the back of this lesson booklet to assist you

in completing the assignment. Please show pertinent work and

explanation.

Call or e-mail your teacher if you would like additional help.

Multiple-Choice Items

1

_________ 1. The statement about identities that is false is

A. the permissible values will always produce identical values on both

sides of the equation

B. the non-permissible values will always produce identical values on

both sides of the equation

C. when graphing each side of an identity, the graphs will be identical

D. substituting in any value for the angle, other than a non-permissible

value, will result in both sides of the equation being equal

2

_________ 2. The expression

cos x is equivalent to

1 - sin x

A. 1 + sin x

cos x

B. 1 - sin x

cos x

C. cos(x)(1 + sin(x))

D. cos(x)(1 ? sin(x))

Numeric Response 1

1

76

Given the domain 0c # i # 360c , the smallest non-permissionable value of the identity

cos?(cos? ? sec?) = cos2? ? 1 is

Alberta Distance Learning Centre

Mathematics 30-1: Unit 2

4

Lesson D - Assignment Booklet

_________ 3. The exact value of sin 255° is

A. ^- 3 - 1h

2 2

B.

^ 3 + 1h

C.

^- 3 + 1h

D.

^ 3 - 1h

2 2

2 2

2 2

Numeric Response 2

1

To verify the identity 1 ? sin?cos?tan? = cos2?, a student substituted in ? = 324°. To the

nearest hundredth, the value of each side of the identity is

1

_________ 4. The expression cos(A + ?) ? sin(A + ?) can be simplified to

A. sin(A) ? cos(A)

B. sin(A) + cos(A)

C. cos(A) ? sin(A)

D. ?sin(A) ? cos(A)

Numeric Response 3

2

r

Given sin A = 5 and cos B = 4 , where A and B are both between 0 and 2 then to the

13

5

nearest hundredth, sin(B ? A) =

Alberta Distance Learning Centre

77

Lesson D - Assignment Booklet

Mathematics 30-1: Unit 2

Written Response

1.

Given the identity csc i sec i = csc2 i ,

tan i

1

?

State all restrictions on ?

2

?

Verify that the identity is true for i =

1

?

Graph the two sides of the equation on the grid below in the domain

0 < ? < 2?.

78

Alberta Distance Learning Centre

r

, using EXACT values.

4

Mathematics 30-1: Unit 2

2.

Lesson D - Assignment Booklet

Given the equation: (sin(x) + cos(x))2 = sin2(x) + cos2(x),

1

?

State all restrictions on x

2

?

Verify that the equation is identical on each side using x = r .

2

2

?

Determine, giving a reason, whether this is an identity.

Total:

22

Alberta Distance Learning Centre

79

Mathematics 30-1: Unit 2

Lesson D: Trigonometric Identities

S

Standard of Excellence

? Students need to make connections to other courses to complete.

? Successful completion shows an ability to think beyond given examples.

O

Over the acceptable level of understanding

? Students need to make connections from within the course notes and

example to complete.

? Successful completion shows an ability to draw from given instruction and

apply skills to new problems.

L

Level of acceptable standards

? Students need to show acceptable levels of understanding to complete.

? Successful completion shows ability to follow given examples.

V

Below level of acceptable standards

? Student's response to question is below acceptable standard.

E

Inadequate level of acceptable understanding

? Student's response to question indicates student needs assistance in

understanding basic concepts.

© Thinkstock

80

Alberta Distance Learning Centre

**About this question:****STATUS**

Answered

QUALITY

Approved

ANSWER RATING

Pay using PayPal (No PayPal account Required) or your credit card. All your purchases are securely protected by PayPal.

Answered

QUALITY

Approved

ANSWER RATING

This question was answered on: * Feb 21, 2020 *

* * Solution~000481893.zip (18.37 KB)

This attachment is locked

We have a ready expert answer for this paper which you can use for in-depth understanding, research editing or paraphrasing. You can buy it or order for a fresh, original and plagiarism-free copy (Deadline assured. Flexible pricing. TurnItIn Report provided)

### Need a similar solution fast, written anew from scratch? Place your own custom order

We have top-notch tutors who can help you with your essay at a reasonable cost and then you can simply use that essay as a template to build your own arguments. This we believe is a better way of understanding a problem and makes use of the efficiency of time of the student. New solution orders are original solutions and precise to your writing instruction requirements. Place a New Order using the button below.