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Furkat [3]
2 years ago
11

Tan π/2 Value with solutions

Mathematics
2 answers:
Georgia [21]2 years ago
4 0
Tan(x)=sin(x)/cos(x) so
tan(pi/2)=1/0, which is undefined.
Rina8888 [55]2 years ago
3 0

Answer:

tan(\frac{\pi}{2})=\frac{1}{0}

Step-by-step explanation:

The given expression is

tan(\frac{\pi}{2})

We know that the tangent function is defined as the quotient between the sin and cosin functions, that is

tan(\theta)=\frac{sin\theta}{cos \theta}, where \theta = \frac{\pi }{2}

So, if we use this trigonometric expression, we have

tan(\frac{\pi}{2})=\frac{sin(\frac{\pi}{2} )}{cos(\frac{\pi}{2}) }

But, \frac{\pi}{2}=90\° and cos90\°=0, sin90\° = 1

Replacing,

tan(\frac{\pi}{2})=\frac{1}{0}

Which is undetermined, because there is no number which product with zero isn't null.

Therefore, the solution is undetermined in this case.

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Each girl had a total of $10.85
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What is the answer? ​
Ivan

Answer:

78

Step-by-step explanation:

A^2 + B^2 = C^2

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3 years ago
Read 2 more answers
Joe can cut and split a cord of firewood in 3 fewer hours than Dwight can. When they work​ together, it takes them 2 hours. How
aalyn [17]

Answer:

Dwight will take 6 hours to finish the job alone and Joe will take 3 hours to finish the job alone.

Step-by-step explanation:

Let us assume the time taken by Dwight to split a cord of firewood  = K hrs

So, the per hour rate of Dwight  = (\frac{1}{K})

As, Joe uses 3 LESS hours then Dwight.

So, the time taken by Joe to split a cord of firewood  = (K- 3) hrs

So, the per hour rate of Joe  = (\frac{1}{K-3})

Now, when both of them wok together, it takes them 2 hours.

So, the per hour rate of BOTH of them  = (\frac{1}{2})

⇒ Per hour rate of ( Dwight  + Joe)  =(\frac{1}{2} )

\implies (\frac{1}{K}) +  (\frac{1}{K-3}) = (\frac{1}{2})

Now, solving for the value of K , we get:

(\frac{1}{K}) +  (\frac{1}{K-3}) = (\frac{1}{2})\\\implies  \frac{(K-3) + K}{K (K-3)}  = (\frac{1}{2})\\\implies 2(2K -3) = K^2 - 3K\\\implies k^2 - 3K -4K +6 = 0\\\implies K^2 - 7K  + 6=  0\\\implies K^2 - 6K - K  + 6=  0\\\implies K(K-6) -1(K - 6)=  0\\\implies (K-6)(K-1) = 0

Implies either K = 6 Or K = 1

But if K = 1, (K-3)  = 1- 3  = -2 hours would be A CONTRADICTION.

⇒ K  = 6 hours

Hence, Dwight will take 6 hours to finish the job alone and Joe will take (k-3) = (6-3) = 3 hours to finish the job alone.

8 0
2 years ago
Which step is the same when constructing an inscribed regular hexagon and an inscribed equilateral triangle?.
Naddik [55]

Step is the same when constructing an inscribed regular hexagon and an inscribed equilateral triangle is shown below:

<h3 /><h3>What is construction?</h3>

Geometric construction is the process of drawing a geometrical figure using two geometrical instruments, a compass, and a ruler.

Construction of an inscribed regular hexagon

1) Set compass width to the radius of the circle

2) Make an arc on the circle with the set radius.

3) From the previous arc draw another arc with the same radius.

4) Continue this process for the other vertex.

5) Connect all the vertices.

Construction of an inscribed equilateral triangle

1) Set compass width to the radius of the circle

2) Make an arc on the circle with the set radius.

3)From the previous arc draw another arc with the same radius.

4)Continue this process for the other vertex.

5) Connect the every other vertices point by drawing  a line between every other adjacent vertex point to form an inscribed equilateral triangle.

Learn more about construction here:

brainly.com/question/791518

#SPJ1

7 0
2 years ago
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