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Mars2501 [29]
3 years ago
14

If sec 48 = 1.4945, find csc 42

Mathematics
1 answer:
Grace [21]3 years ago
3 0
Because cos(x) = 1/sec(x), therefore
cos(48) = 1/1.4945 = 0.6691

The angle 48° is in quadrant 1, therefore cos, sin, tan, sec, csc and cot functions are all positive.

Note that sin(90° - x) = cos(x).
Therefore
sin(90 - 48) = cos(48)
sin(42°) = cos(48°) = 0.6691

Because csc(x) = 1/sin(x), therefore
csc(42°) = 1/sin(42°) = 1/0.6691 = 1.4945

Answer:  1.4945
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Percentage is the way to represent the part of a whole in a fraction of 100.The greatest percent of the increase in the number of jobs from 2006 to 2016 is orthodontist which is 10.94 percent.

<h3>Given-</h3>

In the given table we have to find out the percent of the increase in the number of each job to find out the greatest one.

<h3>Percentage</h3>

Percentage is the way to represent the part of a whole in a fraction of 100.

1-Orthodontist-

In 2006 the total number of orthodontists was 9206.

In 2016 the total number of orthodontists was 10214

Percent of increase in this job is,

p_{1} =\dfrac{10214-9206}{9206}\times100

p_{1} =10.94%

Hence, percent of the increase in this job is 10.94 present.

2-Sound engineer technician-

In 2006 the total number of Sound engineer technicians was 16125

In 2016 the total number of Sound engineer technicians was 17864

Percent of increase in this job is,

p_{2} =\dfrac{17864-16125}{16125}\times100

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Hence, percent of the increase in this job is 10.78 percent.

3-Police officer-

In 2006 the total number of Police officers was 648982

In 2016 the total number of Police officers was 719041

Percent of increase in this job is,

p_{3} =\dfrac{719041-648982}{648982}\times100

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Hence, percent of the increase in this job is 10.79 percent.

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In 2006 the total number of Editors was 122273

In 2016 the total number of Editors was 124135

Percent of increase in this job is,

p_{2} =\dfrac{124135-122273}{122273}\times100

p_{4} =1.52%

Hence, percent of the increase in this job is 1.52 percent.

Hence, the greatest percent of the increase in the number of jobs from 2006 to 2016 is orthodontist which is 10.94 percent.

Learn more about the percentage here;

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