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Alina [70]
3 years ago
9

Verify:cos(2A)=(cotA-tanA)/cscAsecA​

Mathematics
1 answer:
kolbaska11 [484]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

cot A = \frac{cosA}{sinA}, tanA = \frac{sinA}{cosA}, cscA  = \frac{1}{sinA}, secA = \frac{1}{cosA}

Consider the right side

\frac{cotA-tanA}{cscAsecA}

= \frac{\frac{cosA}{sinA}-\frac{sinA}{cosA}  }{\frac{1}{sinA}.\frac{1}{cosA}  }

= \frac{\frac{cos^2A-sin^2A}{sinAcosA} }{\frac{1}{sinAcosA} }

= \frac{cos^2A-sin^2A}{sinAcosA} × sinAcosA ( cancel sinAcosA )

= cos²A - sin²A

= cos2A

= left side ⇒ verified

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Naddik [55]

Answer:

15) <u><em>y= 1/2 + 3.75</em></u>

16) <u><em>y = x</em></u>

Step-by-step explanation:

For #15)

<em>Equation used: y=mx+b ; Slope: y₂ - y₁ / x₂ - x₁</em>

1) First, you need to pick any 2 points on the graph. I'll use (6,3) and (8,4).

2.1) Then you'll use the <em>slope </em>equation to find the slope (m) of your equation.

(y) ~ 4 - 3 = 1

(x) ~ 8 - 6 = 2

Slope= 1/2

3) So from the look of the answers, the y here is 3.75 so you can trust that.

4) The final equation is <u><em>y= 1/2 + 3.75</em></u>

<u><em /></u>

For #16)

Use the same steps as #15. You can still choose whatever points/plots you want. Ima use (5,4) and (6,5).

(y) ~ 4 - 3 = 1

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slope= 1 or x

Answer: y=x

<em>Your welcome for the answer! <3</em>

8 0
3 years ago
What’s the right answer
ruslelena [56]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Esme read 12 pages from her science book last night, and it took her 18 minutes. How long will it take her to read tonight's hom
aniked [119]
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5 0
3 years ago
A large drain and a small drain are opened to drain a pool. The large drain can empty the pool in 2 h. After both drains have be
Over [174]

Answer:

22

Step-by-step explanation:

Let X be the time for only a small drain, the work completed would be unity.

 The small drain has been open for a total of 11 hours, one hour next to the large one, and 10 hours alone.

We have that large drainage can accomplish this in 2 hours.

We have the following system:

1/2 + 11 / x = 1

solving, we have:

11 / x = 1 - 1/2

11 / x = 1/2

x = 11 * 2

x = 22

I mean it would take a total of 22 hours for the small drain alone

5 0
3 years ago
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Need help on this please I would really appreciate it :)
sdas [7]

Answer:

c

Step-by-step explanation:

5 0
3 years ago
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