1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Trava [24]
2 years ago
13

Lim x tends to π÷2 , then what is the value of (tanx + cotx) ÷ ( tanx - cotx)​

Mathematics
1 answer:
KiRa [710]2 years ago
8 0

(tan(<em>x</em>) + cot(<em>x</em>)) / (tan(<em>x</em>) - cot(<em>x</em>)) = (tan²(<em>x</em>) + 1) / (tan²(<em>x</em>) - 1)

… = (sin²(<em>x</em>) + cos²(<em>x</em>)) / (sin²(<em>x</em>) - cos²(<em>x</em>))

… = -1/cos(2<em>x</em>)

Then as <em>x</em> approaches <em>π</em>/2, the limit is -1/cos(2•<em>π</em>/2) = -sec(<em>π</em>) = 1.

You might be interested in
If the life in years of a television set is normally distributed with a mean of 36 years and a standard deviation of 8 years wha
TiliK225 [7]

Answer:

The company should guarantee a lifetime of less than equal to 20.95 years so that less than 3% of the television sets fail while under warranty.    

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 36 years

Standard Deviation, σ = 8 years

We are given that the distribution of life of television sets is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.03.

P( X < x) = P( z < \displaystyle\frac{x - 36}{8})=0.03  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 36}{8} =-1.881\\\\x = 20.952\approx 20.95  

Thus, the company should guarantee a lifetime of less than or equal to 20.95 years so that less than 3% of the television sets fail while under warranty.

3 0
3 years ago
Determine the value of the variable from the image below.
GuDViN [60]

Answer:

<h2>x=29</h2>

Step-by-step explanation:

<h3>to understand the solving steps</h3><h3>you need to know about:</h3>
  • right angle
  • equation
  • PEMDAS
<h3>to solve:</h3><h3>x</h3><h3>let's solve:</h3>

<u>a </u><u>right</u><u> angle</u><u> </u><u>contains </u><u>9</u><u>0</u><u>°</u> (always)

according to the question

x+3+x-1+x+1=90

3x3=90

x=87

x=29

<h2>solved</h2>

3 0
2 years ago
PLEASE HELP WITH THIS I GOT 5 MIN LEFT GIVING ALL MY POINTS AND BRAINLIEST PLEASE COME!!!!!!!
yawa3891 [41]
What's the question?
3 0
3 years ago
SOMEONE HELP ME PLEASE
faust18 [17]

Answer:

The answer is either 1, 3, or 5

Step-by-step explanation:

There are 6 sides on a singular die and the die is rolled twice the first time it rolls onto 4 and the second onto an odd number. The only odd numbers on a 6 sided die are 1, 3, and 5.

5 0
3 years ago
Read 2 more answers
We are told that the two players, taken together, scored a total of 49 points. What is the probability that player A scored firs
mario62 [17]

Answer:

1/2 or 50% probability

Step-by-step explanation:

There are just two players, player A and player B. Since it is between this two players, for player A to score first we would have:

AB where player A is the first player to score, we wouldn't have BA since player would not be the first here

Probability = number of favorable outcomes/total number of outcomes

Therefore probability of A being the first player = number of A/total number of players

=1/2 = 0.50

There is therefore a 50% chance of A being the first player

7 0
3 years ago
Other questions:
  • A map has a scale of 1 cm : 11.5 km. Two cities are 5.5 cm apart on the map. To the nearest tenth of a kilometer, what is the ac
    9·1 answer
  • Billy made 400 points to become a level seven on battlefield if he is completed 3/5 of what he needs so far how many points does
    14·2 answers
  • Find the value of x. Round the length to the nearest tenth. The diagram is not drawn to scale. Show your work.
    5·1 answer
  • What is 12x squared - 9x + 15
    15·2 answers
  • What is the <br>place value for 4 in 25.6721​
    14·1 answer
  • Solve the system by the substitution method.<br> x^2+y^2=61<br> x-y=1
    14·1 answer
  • Can someone help please-​
    11·2 answers
  • What types of rocks would be more or less likely to contain fossils? Does this change the location you want to choose for your f
    6·1 answer
  • x P(x) 0 0.25 1 0.3 2 0.1 3 0.35 Find the standard deviation of this probability distribution. Give your answer to at least 2 de
    9·1 answer
  • Find f^-l for f (x) = 1/2•6^x-1
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!