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Lostsunrise [7]
3 years ago
11

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

Mathematics
1 answer:
katen-ka-za [31]3 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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Please help me with number 55 &amp; 56. I need the answer very quick.<br>Use the point-slope formula
AlekseyPX
55.
The only type of line with undefined slope is a vertical line.
In a vertical line, all points have the same x-coordinate.
The general equation of a vertical line is x = k, where k is the x-coordinate of all points on the line. If you are given one point, then you know the x-coordinate of that point, but since all points have the same x-coordinate, you also know the x-coordinate of all points.

Equation is: x = -6

56.
Same explanation as above.
x = 2
7 0
4 years ago
Ex 2.8<br> 3. find the maximum value of y for the curve y=x^5 -3 for -2≤x≤1
harkovskaia [24]
y=x^5-3\\ y'=5x^4\\\\ 5x^4=0\\ x=0\\ 0\in [-2,1]\\\\ y''=20x^3\\\\&#10;y''(0)=20\cdot0^3=0

The value of the second derivative for x=0 is neither positive nor negative, so you can't tell whether this point is a minimum or a maximum. You need to check the values of the first derivative around the point.
But the value of 5x^4 is always positive for x\in\mathbb{R}\setminus \{0\}. That means at x=0 there's neither minimum nor maximum.
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4 0
3 years ago
Please help!
Ganezh [65]

Answer:

The measures of ∠BOC is 25.4° and that of ∠AOB is 15.8°.

Step-by-step explanation:

Given that,

∠AOC = 31°

∠BOC = 2x+10

∠AOB = 4x-15

As we can seen from the figure that,

∠AOC = ∠AOB + ∠BOC

Put all the values,

31 = 4x-15+2x+10

31 = 6x-15

31+15 = 6x

46 = 6x

x = 7.7

∠BOC = 2(7.7)+10 = 25.4°

∠AOB = 4(7.7)-15 = 15.8°

So, the measures of ∠BOC is 25.4° and that of ∠AOB is 15.8°.

4 0
3 years ago
The table gives the average age of airplanes per airline at Camila’s local airport. By what percent is the number of airlines wi
VladimirAG [237]

The percentage that the number of airlines with an average airplane age of 14 is less than the number of airlines with an average airplane age of 11 is:

B. 20%.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

P = \frac{a}{b} \times 100\%

The percentage of airlines with an average age of 14 years is:

P = \frac{2}{15} \times 100\% = 13.33\%

The percentage of airlines with an average age of 11 years is:

P = \frac{5}{15} \times 100\% = 33.33\%

The difference is:

33.33% - 13.33% = 20%.

Hence option B is correct.

More can be learned about percentages at brainly.com/question/10491646

#SPJ1

6 0
2 years ago
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qaws [65]

Answer:

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Step-by-step explanation:

If you think about it, cellular respiration is the way cells make their food, or usable energy. Therefore, the answer would be up above-------------------------^^

5 0
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