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solmaris [256]
4 years ago
10

Prove Tan x - 1/Tan x + 1 = 1 - cot x/1 + cot x

Mathematics
1 answer:
klasskru [66]4 years ago
5 0
\dfrac{\tan x-1}{\tan x+1}=\dfrac{\dfrac{\sin x}{\cos x}-1}{\dfrac{\sin x}{\cos x}+1}=\dfrac{\sin x-\cos x}{\sin x+\cos x}=\dfrac{1-\dfrac{\cos x}{\sin x}}{1+\dfrac{\cos x}{\sin x}}=\dfrac{1-\cot x}{1+\cot x}
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Type the correct answer in each box. Use numerals instead of words.
sweet [91]
Answer: -(x + 3)^2 = 3

Explanation:

-x^2 - 6x + 6 = 0
-x^2 - 6x = -6
-x^2 - 6x + 9 = -6 + 9
-(x + 3)^2 = 3
6 0
4 years ago
Read 2 more answers
travis is 21 years older than his sister michelle . in 9 years he will be twice as old as michelle how old is each of them now
Nuetrik [128]
6 because in 9 years Travis will be 30 and divide that by 2 is 15. 15-9=6
8 0
3 years ago
Read 2 more answers
susan is driving to mount shasta .on her map she is a distance of 7 inches away .the scale of the map is 1/2 inch=50 miles.how f
DochEvi [55]

Answer:

700 miles

Step-by-step explanation:

Given:

Scale of the map is \frac{1}{2}\textrm{ in}=50\textrm{ mi}

∴ 1\textrm{ in}= \frac{50}{\frac{1}{2}}=50\times 2=100\textrm{ mi}

Distance of Susan from mount Shasha on the map is 7 inch.

Therefore, Number of miles = 7\times 100=700\textrm{ mi}

Hence, Susan must travel 700 miles to reach her destination.

6 0
3 years ago
What is the slope of the line that passes through the points (-4,5)and(-7,8))?
Nataly [62]

Answer:

slope is -1

Step-by-step explanation:

Slope of the line (m)=(y2 -y1)/(x2 -x1)

given

(x1, y1)=(-4 , 5)

(x2,y2)=(-7 , 8)

Now using the above formula

m =(8-5)/(-7-(-4))

m = (3)/(-7+4)

m= 3/(-3)

m=-1

therefore the slope of the line is -1

3 0
2 years ago
I'm confused on this​
noname [10]

Answer:

AB = 33.78228208

BD = 42.3

AT= 20.33068487

Area= 859.9879701

Step-by-step explanation:

Using the sin rule:

<u>sinA </u> = <u>sinB</u>

a b

If I use A = 90, a= 42.3

B = 53, b= AB

I get AB = 33.78228208 units

Then the diagonal is already 42.3 cm so I think. BD should be 42.3 cm too.

I used the sin rule again for ABD to find AD but by using B as 37° and b as AD.

I get AD = 25.45677548

For ADT,

AD is the hypotenuse.

Now I get from the same sin rule,

A= 90°. a= 25.45677548

B= 53°. b = AT

AT= 20.33068487 units.

Area of rectangle = l×b

= AB × AD

so that gives me 859.9879701 square units

7 0
3 years ago
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