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
lara [203]
3 years ago
8

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

Mathematics
2 answers:
Ilya [14]3 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]3 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
"The sum of the abscissa and the ordinate is six"?
Alenkinab [10]
The answer will be <span>x + y = 6 </span>
3 0
3 years ago
2. Which graph represents the solution to the given system? (1 point)
matrenka [14]

Answer:

1000000000000000million

4 0
2 years ago
Solve this equation.<br> 2/3x−1/5x=x−1
KonstantinChe [14]

Answer:

 =  1  7/8

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Miko filled two tanks with water. The ratio of the amount of water in Tank A to Tank B is 3 : 2. The total amount of water in bo
Anna71 [15]

Step-by-step explanation:

answer is in the above picture

6 0
2 years ago
HELP ASAP<br>Find the volume of the corner, R measures 10 feet, height measures 30 feet​
vazorg [7]

Answer:

3141.59

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is x for negative 8(x plus 2 ) plus 5x equals negative 4
    14·1 answer
  • <img src="https://tex.z-dn.net/?f=100%5E%7Bm%7D" id="TexFormula1" title="100^{m}" alt="100^{m}" align="absmiddle" class="latex-f
    15·1 answer
  • Explain when the median of a data set is a better<br> measure of center than the mean.
    12·2 answers
  • Select the two values of x that are roots of this equation.<br>x + 2x - 6 = 0​
    12·1 answer
  • Please help question in the picture
    11·1 answer
  • Please help me thanks
    6·1 answer
  • Use the original price and the markup to find the retail price.
    8·1 answer
  • 1. Eddie ordered customized cups. He was
    12·2 answers
  • which answer choice shows both the equation that represents the sentence and the correct solution to that equation?
    14·1 answer
  • I need help on this please
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!