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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.
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Help PLEASE!
pav-90 [236]
It would be equivalent to 18099
5 0
4 years ago
Select the correct answer from each drop-down menu.
Ivahew [28]

In 20 minutes, John can wrap 10 small boxes and Hank can wrap 12 small boxes. So, Hank can wrap more small boxes in 20 minutes than John can.

Step-by-step explanation:

Given,

John wraps;

2 small boxes = 4 minutes

1 small box = \frac{4}{2} = 2\ minutes

In 20 minutes,

20 minutes = \frac{Total\ time}{Time per box} = \frac{20}{2}

20 minutes = 10 small boxes

Hank wraps;

3 small boxes = 5 minutes

1 small box =\frac{5}{3}\ minutes

In 20 minutes = \frac{Total\ time}{Time per box} = \frac{20}{5/3}

20\ minutes=\frac{20*3}{5}\\20\ minutes=\frac{60}{5}\\20\ minutes= 12\ small\ boxes\\

In 20 minutes, John can wrap 10 small boxes and Hank can wrap 12 small boxes. So, Hank can wrap more small boxes in 20 minutes than John can.

Keywords: division, multiplication

Learn more about division at:

  • brainly.com/question/1836777
  • brainly.com/question/2115122

#LearnwithBrainly

8 0
3 years ago
Which ordered pair represents the solution to the system of equations? {−5x+7y=−196x−2y=10
k0ka [10]
Answer:
x = 1
y = -2

Explanation:
First, solve for x by subtracting 7y from both sides of the first equation and then divide both sides by -5.

-5x + 7y = -19
-5x + 7y - 7y = -19 - 7y
-5x = -19 - 7y
-5x/ -5 = -19 - 7y/ -5
x = -19 - 7y/ -5

Next, substitute the value of x into the second equation and solve.

6 - (-19 - 7y)/ 5 - 2y = 10
- 6(-19 - 7y)/ 5 - 2y = 10

Then, solve for y

- 6(-19 - 7y)/ 5 - 2y = 10
-6(-19 - 7y) - 10y = 50
114 + 42y - 10y = 50
144 + 32y = 50
32y = 50 - 144
32y = -64
32y/ 32 = -64/ 32
y = -2

Finally, substitute the value of y into the x value we found earlier and solve

x = - 19 - 7y/ 5
x = - 19 - 7 • -2/ 5
x = 1
8 0
3 years ago
Estimate the quotient<br><br><br>31.8 ÷ 16.2<br><br>show your work
11Alexandr11 [23.1K]
Round the problem

32/16 = 2


7 0
4 years ago
Read 2 more answers
Solve for x,y, and z
Lostsunrise [7]
Equation 1)  3x + 2y - 5z = 3
Equation 2)  4x - 2y - 3z = -10
Equation 3)  5x - 2y - 2z = -11

Add equation 1 with equation 2.

Equation 4)  7x - 8z = 7

Then subtract equation 3 from equation 2.

Equation 5)  -x -z = 1

Multiply all of equation 5 with 7.

5)  -7x - 7z = 7
4)  7x - 8z = 7

Add equations together.

z = 14

Plug in 14 for z in equation 4.

7x - 8z = 7

7x - 8(14) = 7

7x - 112 = 7

7x = 119

x = 17

Plug in 17 for x in equation 1, and 14 for z.

1)  3x + 2y - 5z = 3

3(17) + 2y - 5(14) = 3

51 + 2y - 70 = 3

2y - 19 = 3

2y = 22

y = 11

So, x = 17, y = 11, and z = 14

~Hope I helped!~



3 0
3 years ago
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