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BartSMP [9]
3 years ago
10

I need help with this one I don’t understand

Mathematics
1 answer:
adelina 88 [10]3 years ago
6 0

Answer:

C 27:12

Step-by-step explanation:

9:4x3=27:12

A ratio will keep the same factors.

So 1:2- 2:4 its basically a fraction.

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Show that √(1-cos A/1+cos A) =cosec A - cot A​
Gennadij [26K]

Hi there!

\sqrt{\frac{1-cosA}{1+cosA}} =

We can begin by multiplying by its conjugate:

\sqrt{\frac{1-cosA}{1+cosA}} * \sqrt{\frac{1+cosA}{1+cosA}}  = \\\\\sqrt{\frac{(1-cosA)(1 + cosA)}{(1+cosA)(1 + cosA)}} =

Simplify using the identity:

1 - cos^2A = sin^2A

\sqrt{\frac{(1-cos^2A)}{(1+cosA)^2}} =\\\\\sqrt{\frac{(sin^2A)}{(1+cosA)^2}} =

Take the square root of the expression:

{\frac{sinA}{1+cosA} =

Multiply again by the conjugate to get a SINGLE term in the denominator:

{\frac{sinA}{1+cosA} * {\frac{1-cosA}{1-cosA} =\\

Simplify:

{\frac{sinA(1-cosA)}{1-cos^2A} =

Use the above trig identity one more:

{\frac{sinA(1-cosA)}{sin^2A} =

Cancel out sinA:

{\frac{(1-cosA)}{sinA}  =

Split the fraction into two:

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

Recall:

1/sinA = cscA\\\\cosA/sinA = cotA

Simplify:

\frac{1}{sinA} + \frac{cosA}{sinA} = \boxed{cscA - cotA}

5 0
2 years ago
Part I
klemol [59]
It depends on the shape it may be rotation
6 0
3 years ago
The endpoints of PQ are (4,1) and Q(4,8)
tatuchka [14]

Answer:

Search this up on google to find out what the answer is because no one is going to know how to do it.


5 0
4 years ago
What is the slope of the line shown below ?
ElenaW [278]

Answer:

4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-(-2))/(3-1)

m=(6+2)/(2)

m=8/2

m=4

7 0
3 years ago
Need Help question is in the photo.​
san4es73 [151]

Answer:D,E

Step-by-step explanation:

9/3=3

36=9×4

3 0
3 years ago
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