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stiks02 [169]
4 years ago
5

Simplify the expression 1/√(1-cos^2 x) . Remember cos x= 1/csc x

Mathematics
1 answer:
Cerrena [4.2K]4 years ago
3 0
First, we are going to use the Pythagorean identity: sin^2(x)+cos^2(x)=1 to rewrite our expression. Solving for sin^2(x) in our Pythagorean identity  we get that sin^2(x)=1-cos^2(x), so we can rewrite our expression as follows:
\frac{1}{ \sqrt{1-cos^2(x)} } = \frac{1}{ \sqrt{sin^2(x)} } = \frac{1}{sin(x)}

Next, we are going to use the trig identity: csc(x)= \frac{1}{sin(x)} to completely simplify our expression:
\frac{1}{sin(x)} =csc(x)

We can conclude that \frac{1}{ \sqrt{1-cos^2(x)} }=csc(x)
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Answer:

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Step-by-step explanation:

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6 0
3 years ago
In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD.
Volgvan

Answer:

BD = 5

Step-by-step explanation:

∠A = 60°

Since AB = 20 = BC, Then ∠B = 60° resulting in a equilateral triangle with ∠C = 60°.  Then dividing ∠DAE into half gives 4 = angles of 15° yielding each secition of BC being equal to 20/4 = 5.  Do i don't think DE ≈ 9.28 cannot occur.

6 0
3 years ago
A 24000 gallon of pool is being filled at the rate of 40 gallons per minute at this rate how many minutes will it take to fill u
MA_775_DIABLO [31]

Answer:

Option no C 600 minutes

Step-by-step explanation:

Given:

gallons of pool = 24000 gallon

Rate at which it is filled = 40 gallons per minute

To find :

Time taken to fill the pool=?

Solution:

We know that rate is the time in which a thing is being done at per minute or per hour or per second. In our question it is given that the rate is 40 gallons per minute which means that 40 gallons are filled in one minute

Now

In one minute = 40 gallons filled

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Total time taken = \frac{Total pool size}{gallon filled in one minute}

Putting in the values

Total time taken = \frac{24000}{40}

Total time taken = 600 minutes

So the answer is option c which is 600 minutes


4 0
3 years ago
Can someone please help!!!!!!!
svetoff [14.1K]

The graph is attached in the figure below.

Step-by-step explanation:

To graph a point we perform the following steps.

  • Consider point J(-5,2.5)
  • Here x = -5, and y = 2.5
  • Find -5 in x axis and 2.5 in y-axis. the point where both meet is the point for J on graph.

All other points are also drawn in the graph following the above steps.

The graph is attached in the figure below.

Keywords: Graph

Learn more about Graphs at:

  • brainly.com/question/10541435
  • brainly.com/question/3126500
  • brainly.com/question/11150876
  • brainly.com/question/2334270

#learnwithBrainly

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3 years ago
Xavier cuts a slice of pizza into two parts. One part has an angle that measures 42 degrees. The other part has an angle that me
brilliants [131]
121 degrees. 42+79=121.
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3 years ago
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