Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 67, Problem 12A
To determine

(a)

The value sine function when side x is equal to side r.

Expert Solution
Check Mark

Answer to Problem 12A

The value of sine function of angle 1 is sin1=0.7071.

Explanation of Solution

Given information:

The given figure is

  Mathematics For Machine Technology, Chapter 67, Problem 12A , additional homework tip  1

When the side x is equal to side y, the value of sine function of angle 1 can be calculated as follows

sin1=yr

Now from the Pythagoras theorem,

r2=y2+y2r2=y2+y2r2=2×y2r=( 2× y 2 )r=y2

Now sin1=yr

sin1=yy2

sin1=12=0.7071

The value of sine function of angle 1 is sin1=0.7071

Conclusion:

Thus, the value of sine function of angle 1 is sin1=0.7071

To determine

(b)

The value cotangent function when side x is equal to side r.

Expert Solution
Check Mark

Answer to Problem 12A

The value of cotangent function of angle 1 is cot1=1.

Explanation of Solution

Given information:

The given figure is

  Mathematics For Machine Technology, Chapter 67, Problem 12A , additional homework tip  2

When the side x is equal to side y, the value of cotangent function of angle 1 can be calculated as follows

cot1=xy

Since, x = y

Now cot1=xy=xx=1

cot1=1

The value of cotangent function of angle 1 is cot1=1

Conclusion:

Thus, the value of cotangent function of angle 1 is cot1=1

To determine

(c)

The value cosine function when side x is equal to side r.

Expert Solution
Check Mark

Answer to Problem 12A

The value of sine function of angle 1 is cos1=0.7071.

Explanation of Solution

Given information:

The given figure is

  Mathematics For Machine Technology, Chapter 67, Problem 12A , additional homework tip  3

When the side x is equal to side y, the value of cosine function of angle 1 can be calculated as follows

cos1=xr

Now from the Pythagoras theorem,

r2=x2+y2r2=x2+x2r2=2×x2r=( 2× x 2 )r=x2

Now cos1=xx2

cos1=12

cos1=0.7071

The value of cosine function of angle 1 is cos1=0.7071

Conclusion:

Thus, the value of cosine function of angle 1 is cos1=0.7071

To determine

(d)

The value cosecant function when side x is equal to side r.

Expert Solution
Check Mark

Answer to Problem 12A

The value of cosecant function of angle 1 is csc1=1.4142.

Explanation of Solution

Given information:

The given figure is

  Mathematics For Machine Technology, Chapter 67, Problem 12A , additional homework tip  4

When the side x is equal to side y, the value of cosecant function of angle 1 can be calculated as follows

csc1=ry

Now from the Pythagoras theorem,

r2=y2+y2r2=y2+y2r2=2×y2r=( 2× y 2 )r=y2

Now csc1=ry

csc1=y2y

csc1=2

The value of sine function of angle 1 is csc1=1.4142

Conclusion:

Thus, the value of sine function of angle 1 is csc1=1.4142

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Chapter 67 Solutions

Mathematics For Machine Technology

Ch. 67 - Refer to the following figure in answering...Ch. 67 - Prob. 12ACh. 67 - Refer to the following figure in answering...Ch. 67 - For each exercise, functions of two angles are...Ch. 67 - For each exercise, functions of two angles are...Ch. 67 - For each exercise, functions of two angles are...Ch. 67 - For each exercise, functions of two angles are...Ch. 67 - For each exercise, functions of two angles are...Ch. 67 - For each exercise, functions of two angles are...Ch. 67 - For each exercise, functions of two angles are...Ch. 67 - For each exercise, functions of two angles are...Ch. 67 - For each exercise, functions of two angles are...Ch. 67 - For each exercise, functions of two angles are...Ch. 67 - For each exercise, functions of two angles are...Ch. 67 - Prob. 25ACh. 67 - For each function of an angle, write the...Ch. 67 - For each function of an angle, write the...Ch. 67 - For each function of an angle, write the...Ch. 67 - For each function of an angle, write the...Ch. 67 - For each function of an angle, write the...Ch. 67 - For each function of an angle, write the...Ch. 67 - For each function of an angle, write the...Ch. 67 - For each function of an angle, write the...Ch. 67 - For each function of an angle, write the...Ch. 67 - For each function of an angle, write the...Ch. 67 - For each function of an angle, write the...Ch. 67 - For each function of an angle, write the...Ch. 67 - For each function of an angle, write the...Ch. 67 - For each function of an angle, write the...Ch. 67 - For each function of an angle, write the...Ch. 67 - Prob. 41ACh. 67 - For each function of an angle, write the...Ch. 67 - For each function of an angle, write the...Ch. 67 - For each function of an angle, write the...Ch. 67 - Prob. 45ACh. 67 - For each exercise, functions and cofunctions of...Ch. 67 - Prob. 47ACh. 67 - For each exercise, functions and cofunctions of...Ch. 67 - Prob. 49ACh. 67 - For each exercise, functions and cofunctions of...Ch. 67 - Prob. 51ACh. 67 - For each exercise, functions and cofunctions of...Ch. 67 - Prob. 53ACh. 67 - For each exercise, functions and cofunctions of...Ch. 67 - Prob. 55ACh. 67 - For each exercise, functions and cofunctions of...Ch. 67 - Prob. 57A
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