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Alborosie
2 years ago
5

Find cot x if sin x cot x csc x = square root of two

Mathematics
1 answer:
Brums [2.3K]2 years ago
5 0
\text{Given: } sin(x) cot(x) cosec(x) = \sqrt{2}
\text{Find: } cot(x)

\text{Important identity: } \boxed{cosec(x) = \frac{1}{sin(x)}}

sin(x) cot(x) cosec(x) = sin(x) cot(x) \frac{1}{sin(x)} = \sqrt{2}
\therefore cot(x) = \sqrt{2}
You might be interested in
Из листа картона длиной 35 см и шириной 20 см Маша вырезала четыре квадрата площадью 1 дм2 каждый.Найди площадь остатка картона.
myrzilka [38]
The question in Englih is
<span>From a cardboard sheet 35 cm long and 20 cm wide, Masha cut out four squares of 1 dm2 each. Find the area of ​​the cardboard residue. Answer the question in dm2
</span>
Step 1
<span>convert cm to dm
</span>we know that
1 cm is---------------> 0.10 dm
then
35 cm--------------> 3.5 dm
20 cm--------------> 2 dm

Step 2
find the area of ​​the cardboard
Area=3.5*2=7 dm²

Step 3
find the area of ​​the cardboard residue
Area=7-4*1=3 dm²

the answer is 3 dm²


<span>the answer in Russian
</span>

Шаг 1
преобразовать cm в дм
мы знаем это
1 cm ---------------> 0.10 дм
тогда
35 cm--------------> 3.5 дм
20 cm--------------> 2 дм

Шаг 2
найти область картона
Площадь=3.5*2=7 дм²

Шаг 3
<span>найти область остатка картона
</span>Площадь=7-4*1=3 дм²
ответ 3 дм²

ответ 3 дм²
4 0
2 years ago
Read 2 more answers
HELP
jenyasd209 [6]

Answer:

20 cyclists

Step-by-step explanation:

In 2007 only two bikes are there which mean only 20 cyclists participated and that is the least amount out of all years

5 0
3 years ago
Read 2 more answers
Which equation could be used to find the length of the hypotenuse?
suter [353]
The answer would be A because A squared + B squared = C squared which is the hypotenuse.
4 0
2 years ago
Which pairs of variables have a linear relationship? Select
Neko [114]

Answer:

Side length and perimeter of 1 face

Area of 1 face and surface area

Step-by-step explanation:

Suppose you are given cube with side length of x units.

Then

Side length = x units

Perimeter = 4x units

Area of 1 face =x^2 square units

Surface area =6x^2 square units

Volume =x^3 cubic units

A linear relationship is any equation that, when graphed, gives you a straight line.

Consider all options:

A. Side length and perimeter of 1 face is a linear relationship, because the graph of the function y=kx is a straight line.

B. Perimeter of 1 face and area of 1 face is not a linear relationship, because the graph of this relationship is a quadratic parabola with equation y=kx^2.

C. Surface area and volume is not a linear relationship, because the graph of this relationship is a curve with equation y=kx^{\frac{3}{2}}.

D. Area of 1 face and surface area is a linear relationship, because the graph of the function y=kx is a straight line.

E. Side length and volume is not a linear relationship, because the graph of this relationship is a cubic parabola with equation y=kx^3.

6 0
3 years ago
Read 2 more answers
If you scale a figure by less than 1 or less than 100%, does the new copy increase or decrease in size? *​
nasty-shy [4]

Answer:

Decrease

Step-by-step explanation:

It gets smaller because it is 100% is full size, so less would make it smaller

3 0
2 years ago
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