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
Daniel [21]
3 years ago
11

Prove that 1+cot²A=cosec²A​

Mathematics
1 answer:
o-na [289]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Consider the left side

1 + cot²A

= 1 + \frac{cos^2A}{sin^2A}

= \frac{sin^2A+cos^2A}{sin^2A}

= \frac{1}{sin^2A}

= cosec²A

= right side, thus proven

You might be interested in
SOMEONE PLEASE HELP!!!<br> what is the value of x? <br> A.15<br> B.25<br> C.30<br> D.35
Amiraneli [1.4K]
The answer is D, 35 degrees. The 35 degree angle and angle x are opposite interior angles and are therefore congruent in measure. 
4 0
3 years ago
Read 2 more answers
4. Find the sum of all the numbers from 100 to 199 that are not divisible by 13.
Ierofanga [76]

There are 100 numbers in the range 100-199. Find the smallest and largest multiple of 13 in this range. We have

104 = 8•13

195 = 15•13

so there are 15 - 8 + 1 = 8 multiples of 13 between 100 and 199.

Then the sum we want is

\displaystyle \sum_{k=100}^{199} k - \sum_{\ell=8}^{15}13\ell

or equivalently,

(100 + 101 + 102 + … + 199) - 13 (8 + 9 + … + 15)

To compute these sums, recall the following formula:

\displaystyle \sum_{i=1}^n i = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2

Then

\displaystyle \sum_{k=100}^{199} k = \sum_{k=1}^{199} k - \sum_{k=1}^{99} k = \frac{199\cdot200}2 - \frac{99\cdot100}2 = 14,950

and

\displaystyle \sum_{\ell=8}^{15} 13\ell = 13 \left(\sum_{\ell=1}^{15} \ell - \sum_{\ell=1}^7 \ell\right) = 13 \left(\frac{15\cdot16}2 - \frac{7\cdot8}2\right) = 1,196

which means the sum we want is 14,950 - 1,196 = 13,754.

7 0
2 years ago
Leah flips a coin and then she spins the spinner with 3 equal sections colored red green and blue what is the probility that the
VARVARA [1.3K]

Answer:

33%

Step-by-step explanation:

Prob(heads) = 1/2

Prob(either red or blue) = 2/3

So Prob( heads and red/blue) = 1/2 * 2/3

= 2/6

= 1/3   which is 33%.

8 0
3 years ago
Read 2 more answers
Sailboats use block and tackle systems to reduce the effort needed to move or raise the sails. If a block and tackle has five ro
nata0808 [166]
The mechanical advantage of the block and tackle is that it is easier to lift a lock using multiple parts of the rope that go around the system of pulleys. If there are no friction, the mechanical advantage is exactly equal to the number of parts of the rope that are attached to the load.
5 0
3 years ago
I need help with number 3
Ksenya-84 [330]
79200 feet in 15 miles and 1 hour there is 60 seconds
3 0
3 years ago
Other questions:
  • Bookshelf has 84books on it there are two times as many non-fiction books as fiction books how many fiction books are there on t
    5·1 answer
  • How do you compare fractions factors and products
    8·1 answer
  • (30 points) Can someone please help me with Recursive Formulas and Explicit Formulas.
    9·1 answer
  • Pleeeeeeaaaaaassssseeeee heeeeeellllllllpppppppp
    5·1 answer
  • Which group of plants were the first to adapt to life on land? flowering pine mosses conifers
    15·2 answers
  • Write a ratio and a percent for the shaded area.
    15·2 answers
  • What is a ratio that is equivalent to<br> 110 mi<br> ---------<br> 4 h
    10·1 answer
  • Do you expect the difference between the 25th percentile and the median (50th percentile) to be Group of answer choices Larger t
    12·1 answer
  • Find the distance between PQ. P(3,4) and Q(6,8) <br><br><br> 25<br> 20<br> 15<br> 5
    14·1 answer
  • Find the value of k that makes f(x) continuous at x=
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!