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3 years ago

Cot(pi/2)=1-1undefined0

Mathematics

2 answers:

devlian [24]3 years ago

6 0

Answer:

Option D

Step-by-step explanation:

We have to find the value of cot $(\frac{\pi}{2})$

Since cot θ = $\frac{1}{tan\theta}$

and θ = $\frac{\pi}{2}$

So cot $cot(\frac{\pi}{2})=\frac{1}{tan(\frac{\pi}{2})}$

= $\frac{1}{(\frac{1}{0})}$

= 0

Therefore, answer will be option D), 0.

GenaCL600 [577]3 years ago

4 0

Answer:

the answer is zeroo

Step-by-step explanation:

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when you use the distance formula you are building and blank whose hypotenuse connects two given points (A) parallelogram (B) ri

Marrrta [24]

the answer to you're question is B ; Right Triangle

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3 years ago

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Evaluate 33/5 - 1/10

azamat

Answer:

$\large\boxed{\dfrac{13}{2}=6\dfrac{1}{2}=6.5}$

Step-by-step explanation:

We have the different denominators.

The common denominator is 10.

$\dfrac{33}{5}=\dfrac{33\cdot2}{5\cdot2}=\dfrac{66}{10}$

We can subtract these fractions now.

$\dfrac{33}{5}-\dfrac{1}{10}=\dfrac{66}{10}-\dfrac{1}{10}=\dfrac{66-1}{10}=\dfrac{65:5}{10:5}=\dfrac{13}{2}\\\\\dfrac{13}{2}=\dfrac{12+1}{2}=6\dfrac{1}{2}$

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3 years ago

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Need help on these !! 13 and 14! Please!!

katen-ka-za [31]

Question # 13

Answer:

The required equation for the given function is y = 4sin(x/2+2π/3) -2 , as shown attached graph diagram.

Step-by-step explanation: 

As the general sine function is given by

$y=asin(bx+c)+d$ .......[A]

amplitude = a
period = 2π ÷ b
Phase shift = -c ÷ b
Vertical shift = d

As in the question,

amplitude = a = 4
period = 4π
phase shift = -4π/3
Vertical shift = d = -2

period = 2π ÷ b

b = 2π/period

b = 2π/4π ∵ period = 4π

b = 1/2

Also

Phase shift = -c/b

-4π/3 = -c/b ∵ phase shift = -4π/3

4π/3 = c/b

c = b × 4π/3

c = 1/2 × 4π/3

c = 4π/6

c = 2π/3

So, putting Amplitude ⇒ a = 4, Vertical shift ⇒ d = -2, b = 1/2 ,

and c = 2π/3 in Equation [A] would bring us the required equation for the given function.

$y=asin(bx+c)+d$

y = 4sin(x/2+2π/3)+(-2)

y = 4sin(x/2+2π/3) -2

Note: The graph is also shown in attached diagram.

Question # 14

Answer:

The required equation for the given function is y = cot(x+π/3)+2, as shown in attached graph diagram.

Step-by-step explanation: 

As the general cotangent function is given by

$y=acot(bx+c)+d$ .......[A]

amplitude = a
period = π ÷ b
Phase shift = -c ÷ b
Vertical shift = d

As in the question,

period = π
phase shift = -π/3
Vertical shift = d = 2

period = π ÷ b

b = π/period

b = π/π ∵ period = 4π

b = 1

Also

Phase shift = -c/b

-π/3 = -c/b ∵ phase shift = -π/3

π/3 = c/b

c = b × π/3

c = 1 × π/3

c = π/3

So, putting vertical shift ⇒ d = 2, b = 1 and c = π/3 in Equation [A] would bring us the required equation for the given function.

$y=acot(bx+c)+d$

y = cot(x+π/3)+2

Note: The graph is also shown in attached diagram.

Keywords: amplitude, period , phase shift , vertical shift

Learn more about trigonometric functions of equations from brainly.com/question/2643311

#learnwithBrainly

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3 years ago

Evaluate the expression \{10 x 7\}+(10 - 6){10×7}+(10−6)left brace, 10, times, 7, right brace, plus, left parenthesis, 10, minus

aliya0001 [1]

What grade is this? I can get the answer of it but I forgot how

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3 years ago

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Pedro is building a playground in the shape of a right triangle he wants to know the area of the playground to help him decide h

shusha [124]

Answer:

Amount of sand=Area of triangle(ABC)=1/2*AB*BC

Dimension of rectangle as length=BC and breadth=AB

Step-by-step explanation:

Given:

Pedro building a playground in shape of right angled triangle.

To Find:

How much sand he need to buy

And if playground changed to rectangle what will be the dimensions.

Solution:

Consider a ΔABC be the play ground vertex of playground,

And AB and BC be the sides making right angle.

The sand required to fill ground will be the amount of are covered by the ABC triangle.

So,

Area Of triangle(ABC)=1/2* base* height

Here base will be BC and height =AB

Therefore Area of Triangle(ABC)=1/2*BC*AB

Depending on the lengths of base and height amount of sand will be decided.

Now,

For Rectangle dimensions,

We know that if same sized triangles composes each other forms a rectangle.

It requires two triangle to form one rectangle as follows

(Refer the attachment)

Same sized Triangle ACD is imposed on it to from rectangle ABCD.

So dimension for rectangle will be same as the triangle

Dimension=length and breadth

i.e. length=base of triangle=BC

Breadth=Height of triangle=AB

i.e Breadth =AB.

5 0

3 years ago