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rosijanka [135]
3 years ago
12

Csc α - sin α =cos α cot α Show how this is an identity?

Mathematics
1 answer:
Savatey [412]3 years ago
8 0
Csc a - sin a = cos a cot a
1/sin a - sin a = cos a (cos a / sin a)
(1 - sin^2 a)/sin a = cos^2 a/sin a
cos^2 a/sin a = cos^2 a/sin a

Therefore, the given equation is an identity.
You might be interested in
What is the average rate of change for this quadratic function for the interval
Nesterboy [21]

The average rate of change of the function at the interval is -8

<h3>How to determine the average rate of change?</h3>

The table that completes the question is added as an attachment


From the table, we have:

f(5) = -26

f(3) = -10

The average rate is then calculated as:

Rate = (f(5) - f(3))/(5 -3)

This gives

Rate = (-26 + 10)/(5 -3)

Evaluate

Rate = -8

Hence, the average rate of change of the function is -8

Read more about average rate of change at:

brainly.com/question/8728504

#SPJ1

7 0
2 years ago
Help me with this exercise !!! If the answer is correct i will give to you a Brainlist
IceJOKER [234]
The answer is B) (6,-8.75).
3 0
3 years ago
Please help asap please..ill give Brainliest
kompoz [17]

Answer:

There are no solutions

Step-by-step explanation:

Because the lines are parallel, they will never meet, meaning there are no solutions to this system of equations

7 0
3 years ago
Rebecca gets a part time job in order to pay for her cheerleading uniform. her employer tells her that she will be earning $7.25
qwelly [4]

<u>Answer:</u>

$1972

<u>Step-by-step explanation:</u>

We are given that Rebecca will earn $7.25 per hour for her job and she is promised to have 34 hour workdays per week.

We are to find the minimum amount of money she will gross in eight weeks.

Number of hours of work in 8 weeks = 34 \times 8 = 272 hours

Minimum amount of money she will earn in 8 weeks = 272 \times 7.25 = $1972

4 0
3 years ago
Korey’s comic book store has been up and running for 4 years. Korey feels that his store has been successful and is considering
Inessa05 [86]
Year      Net Profit
1            <span>$14,250.00
2            $15,390.00
3            $16,621.20
4            $17,950.90</span>2

We need to get the increase of the net profit of the current year from the previous year.

Percentage increase = (Current year - Previous Year)/ Previous Year    * 100%

Year 2:  (15,390 - 14, 250) / 14,250   * 100% = 0.08 * 100% = 8%
Year 3: (16,621.20 - 15,390) / 15,390 * 100% = 0.08 * 100% = 8%
Year 4: (17,950.90 - 16,621.20) / 16,621.20 * 100% = 0.08 * 100% = 8%

Every year the net income increases by 8%. So, the net income in Year 5 will be:

17,950.90 x 1.08 = 19,386.97  Choice D.

8 0
3 years ago
Read 2 more answers
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