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Lostsunrise [7]
2 years ago
11

Pls help... Prove (1+tanx)/(1+cotx)=tanx by algebra

Mathematics
1 answer:
katen-ka-za [31]2 years ago
6 0

\text{L.H.S}\\\\=\dfrac{1+\tan x}{ 1+ \cot x}\\\\\\=\dfrac{1+ \tan x}{ 1+ \tfrac 1{\tan x}}\\\\\\=\dfrac{1+\tan x}{\tfrac{\tan x+1}{\tan x}}\\\\\\=(1+\tan x) \times \dfrac{\tan x}{1+ \tan x}\\\\=\tan x\\\\=\text{R.H.S}\\\\\text{Proved.}

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Ignore the erase marks but i have no clue how to do this. please help asap
madam [21]
Since they're vertical angles, they're equal in degree measure

since they're equal, we can make the two expressions equal to each other

5a - 1 = 2a + 20
add 1 to both sides

5a = 2a + 21
subtract 2a from both sides

3a = 21
divide both sides by 3a

a = 7

now, plug the answer you found for a into one of the two expressions

5a - 1 becomes (5*7) - 1, which equals 34

to double check that they're equivalent (since they're vertical angles)

2a + 20 becomes (2*7) + 20, which equals 34

both angles are 34 degrees!
7 0
3 years ago
August hosted two dinner parties for his friends. Twenty guests attended the first party, and twenty-six guests attended the sec
Ierofanga [76]

Answer: 30%


Step-by-step explanation:

The first step is to find the increase in numbers

26-20= 6

Now you find the percent. This means you're looking for the percent 6 is equal to when compared to 20. The easiest way is to divide the increase by the original number

6/20= 0.3

To convert that to percent, multiply it by 100

0.3 * 100= 30%

There was a 30% increase.

5 0
3 years ago
Given parallelogram ABCD , diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8 . Find the length of AC
Crank

Answer:

I think the answer shod be B

3 0
3 years ago
Please answer the followings: W^mW^n=
Lunna [17]

Step-by-step explanation:

W^m=\underbrace{W\cdot W\cdot W\cdot...\cdot W}_{m}\\\\W^n=\underbrace{W\cdot W\cdot W\cdot...\cdot W}_{n}\\\\W^mW^n=\underbrace{(W\cdot W\cdot W\cdot...\cdot W)}_{m}\underbrace{(W\cdot W\cdot W\cdot...\cdot W)}_{n}\\\\=\underbrace{W\cdot W\cdot W\cdot...\cdot W}_{m+n}=W^{m+n}

5 0
3 years ago
The function (t) = 300,000t represents the distance (in kilometers) that light travels in t seconds
Anika [276]

Answer:

The answer is: 4,500,000 kilometers or in scientific notation: 4.5 x 10^6 kilometers.

Step-by-step explanation:

Multiply to get the answer:

300,000 * 15 =

4,500,000 km

In scientific notation: 4.5 x 10^6

4 0
3 years ago
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