answer.
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
lara [203]
2 years ago
8

Prove this (sinx-tanx)(cosx-cotx)=(sinx-1)(cosx-1)

Mathematics
2 answers:
Ilya [14]2 years ago
6 0

<span><span>(<span>sinx</span>−<span>tanx</span>)</span><span>(<span>cosx</span>−<span>cotx</span>)</span></span>

<span>=<span>(<span>sinx</span>−<span><span>sinx</span><span>cosx</span></span>)</span><span>(<span>cosx</span>−<span><span>cosx</span><span>sinx</span></span>)</span></span>

<span>=<span>sinx</span><span>(1−<span>1<span>cosx</span></span>)</span><span>cosx</span><span>(1−<span>1<span>sinx</span></span>)</span></span>

<span>=<span>sinx</span><span>(<span><span>cosx</span><span>cosx</span></span>−<span>1<span>cosx</span></span>)</span><span>cosx</span><span>(<span><span>sinx</span><span>sinx</span></span>−<span>1<span>sinx</span></span>)</span></span>

<span>=<span><span>sinx</span><span>cosx</span></span><span>(<span>cosx</span>−1)</span><span><span>cosx</span><span>sinx</span></span><span>(<span>sinx</span>−1)</span></span>

<span>=<span>(<span>cosx</span>−1)</span><span>(<span>sinx</span>−1<span>)</span></span></span>

faltersainse [42]2 years ago
4 0
Distribute first
sinx cosx - sinx cotx - cosx tanx+tanx cotx
sinx cosx - sinx (cosx/sinx) - cosx (sinx/cosx) + tanx (cosx/sinx)
sinxcosx - cosx - sinx +1
and factor
cosx(sinx -1) -1(sinx - 1)
(sinx -1)(cosx-1)
You might be interested in
explain the relationship between multiplying and dividing by 10 100 1000 and moving decimals point to the right or to the left
ch4aika [34]

So basically a decimal is moved based on how many zeros are in the dividing number

Ex. 51,000/100

because there are 2 zeros in the number one hundred, the decimal in 51,000 gets moved 2 places to the left

So it goes from 51,000 to 510

Ex. 16 * 1000

There are three zeros in the number 1000. This means three zeros will be added onto the number 16

So the answer would be 16,000

Hope this helps!

6 0
2 years ago
Atley, Bradley, Cursen, and Drake are the married names of Kermit, Leonard, Marlene, and Norma. Read the clues to find each pers
vodka [1.7K]
This is how the chart will look like:
              Kermit          Leonard           Marlene         Norma
Atley

Bradley

Cursen 

Drake

1. Drake is Bradley's sister.
2. Cursen is Atley's brother
3. Norma and Drake are not related
<span>4. Kermit is a year older than Bradley
</span>
Drake is a girl (1), but she is not related to Norma(3), So she is Marlene.
1) MARLENE DRAKE

Drake and Bradley are related; Norma is not related to them(3). Norma can either be Atley or Cursen. But, Cursen is Male. So, Norma is NORMA ATLEY

Remaining family names are Bradley and Cursen. Kermit is not a Bradley, so he is KERMIT CURSEN. That leaves LEONARD BRADLEY.

 
5 0
2 years ago
Read 2 more answers
Enzo is studying the black bear population at a large national park.
Naddik [55]

Answer:

2,973

Step-by-step explanation:

The black bear population B(t), in the park is modeled by the following function:

B(t) = 2500 \cdot 2^{0.01t}

Where t is the time(in years) elapsed since the beginning of the study.

We want to determine the black bear population in 25 years time, t=25.

B(25) = 2500 \cdot 2^{0.01*25}\\=2973.02\\\approx 2973

There will be 2,973 black bears in 25 years time.

4 0
2 years ago
In a right triangle ?ABC, the length of leg AC = 5 ft and the hypotenuse AB = 13 ft. Find: The median to side BC The length of t
ludmilkaskok [199]
The length of the angle is 12
8 0
2 years ago
Read 2 more answers
If Serena selects 4 samples from the table, which row
prisoha [69]

Answer:1: Row 3

2: Row 2

3:6 and 10

Step-by-step explanation:

I just finished doing the assignment

8 0
2 years ago
Read 2 more answers
Other questions:
  • Suppose a spherical balloon grows in such a way that after t seconds, its volume is V = 4 sqrt(t) cm3. What is the volume of the
    14·1 answer
  • Assume there are 365 days in a year.
    15·1 answer
  • While driving home for the holidays, you can’t seem to get Little’s Law out of your mind. You note that your average speed of tr
    9·1 answer
  • Hiro has a stack of cards with one number from the set 1, 1, 2, 2, 3, 3, 3, 4 written on each card. What is the probability that
    9·1 answer
  • A group of people are spinning a spinner that is separated into eight equal parts. Group One spins the spinner eight times. Grou
    11·1 answer
  • A certain ferry moves up and down a river between Town A and B. It takes the ferry two hours to travel to Town A and only an hou
    14·1 answer
  • The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t) = 2,280 - 60t can be us
    10·1 answer
  • use the polygon tool to draw an image of the given polygon under a dilation with a scale factor of 1/3 and center of dilation at
    13·1 answer
  • Which number line represents the solution to 2.5 – 1.2x &lt; 6.5 – 3.2x? A number line from negative 5 to 5 in increments of 1.
    14·2 answers
  • Aldo invested in a savings bond for 6 years and was paid simple interest at an annual rate of 4% the total interest that he earn
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!