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
Please help! College Algebra!
german
The volume would be (x+1)x(x+4)x(3x)= (x^2+x+4x+4)x(3x)= (x^2+5x+4)x(3x)= (3x^3)+(15x^2)+(12x)
Hence, the answer is the 4th option.
Hope this helped you, and if it did, please mark it as the brainiest answer. I would really appreciate it!
4 0
3 years ago
Is 5.67 A)rational B)Irrational C)whole D) natural E)integer
Alexxx [7]
Rational it stops and repeats
5 0
2 years ago
How many 1/8-pound patties can Mrs. Drake make from 7/8 of a pound of a hamburger?
GenaCL600 [577]
Mrs.Drake can make 7 1/8-pound patties.
5 0
2 years ago
Twice a number, increased by 3 is the same as five less than four times a number.what is the number?
zzz [600]

Answer:

x = 4, hope this helps!

Step-by-step explanation:

2x + 3 = 4x - 5

-2x -2x

3 = 2x -5

+5 +5

8 = 2x

divide by 2 on both sides

4 = x

switch where the x and 4 is, because teachers seem to like that

x = 4

8 0
3 years ago
A ship anchored in a port has a ladder which hangs over the side. The length of the ladder is 200cm, the distance between each r
bulgar [2K]

Answer:

The answer to your question is 8 h

Step-by-step explanation:

Data

length of the ladder = 200 cm

distance between each rung = 20 cm

rate = 10 cm/h

fifth rung = ?

Process

1.- Calculate the total distance the tide must rise

distance = 20 cm x 4

              = 80 cm              because the first rung touches the water

2.- Calculate the time

rate = distance / time

-Solve for time

time = distance / rate

-Substitution

time = 80 cm / 10cm/h

-result

time = 8 h

3 0
2 years ago
Other questions:
  • 15 care plans audited; 2 missing.<br> What is the percentage that are there?
    15·1 answer
  • There are 21 more days before the first big winter storm and the squirrel collects 12 acorns a day, how far away from her origin
    7·1 answer
  • Use the product of powers property to simplify the numeric expression.
    13·1 answer
  • A circle with radius of 6cm sits inside a circle with a radius of 9cm. What is the area of the shaded region?
    6·2 answers
  • Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution? A
    8·1 answer
  • Solve the proportion: 1/4 = x/20
    5·2 answers
  • The length of a rectangle is seven more than double the width. If the perimeter is 22 inches find the dimensions
    13·1 answer
  • What is 105 in the ratio 8:7
    9·1 answer
  • Factor the expression 6m-27n
    12·1 answer
  • (24 ÷ 3 - 2) × 4 [points n brainliest]
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!