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
Hoochie [10]
4 years ago
5

Simplify 1-cot(x)/tan(x)-1

Mathematics
1 answer:
netineya [11]4 years ago
6 0
\bf  \cfrac{1-cot(x)}{tan(x)-1}\qquad 
\begin{cases}
cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}
\\\\ tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}
\end{cases}\qquad thus
\\\\\\
\cfrac{1-\frac{cos(x)}{sin(x)}}{\frac{sin(x)}{cos(x)}-1}\implies 
\cfrac{\frac{sin(x)-cos(x)}{sin(x)}}{\frac{sin(x)-cos(x)}{cos(x)}}\\\\
-----------------------------\\\\
recall\implies \cfrac{\frac{a}{b}}{\frac{c}{{{ d}}}}\implies \cfrac{a}{b}\cdot \cfrac{{{ d}}}{c}\qquad thus\\\\
-----------------------------

\bf \cfrac{\frac{sin(x)-cos(x)}{sin(x)}}{\frac{sin(x)-cos(x)}{cos(x)}}\implies \cfrac{sin(x)-cos(x)}{sin(x)}\cdot \cfrac{cos(x)}{sin(x)-cos(x)}\implies \boxed{?}
You might be interested in
Yadira made a wooden cone with a radius of 2 inches and a height of 15
jekas [21]

Answer:

60 cubic inches

Step-by-step explanation:

A = πr²(h/3) = 4(5)π

6 0
3 years ago
If two glasses of water are at the same temperature, the average _____ energy of the particles of water in each glass is the sam
Slav-nsk [51]
I think that would be kinetic
3 0
4 years ago
Read 2 more answers
The area of a rectangle is 14 square units. It has side lengths x and y. If x=7/6, what is the value of y. Remember the formula
Rom4ik [11]

Answer:

y = 12

Step-by-step explanation:

Area = 14

Area = l • w

14 = y • 7/6

multiply each side by 6/7

12 = y

3 0
3 years ago
Using n = 3.14, what is the circumference of a circle with a radius of 20 units?
pav-90 [236]

Answer:

125.6

Step-by-step explanation:

C=2pir

C=2(3.14)(20)=125.6

4 0
3 years ago
Simplify -2x + 5x + 10 - 8
SOVA2 [1]

Answer:

3x+2

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
Other questions:
  • (3.1 · 10² ) (2 · 10³) Write in Scientific Notation.
    12·2 answers
  • Two trains travel a 160 km track each day. The express travels 10 km h^-1 faster and take 30 minutes less time than the normal t
    13·1 answer
  • What is the quotient? 1462 divided 58 Enter your answer as a mixed number in the simplest form
    7·2 answers
  • The cones below are similar, although not drawn to scale.
    6·2 answers
  • PLEASE HELP YOU WILL BE A LIFE SAVER!! Isabel sells new and used mystery novels online. Her customers are primarily in the Unite
    12·1 answer
  • Use the distributive property to write an expression that is equivalent to 8(a + 4).<br> ?
    15·1 answer
  • HELPPPPPPPP will give the brainliest pls help
    5·1 answer
  • What is the volume of this sphere rounded to the nearest hundredth?
    15·1 answer
  • OMG!!! Help MEH 20 PIONTS AND CROWN I REALLY NEED HELP :'( I NEED MY GRADE UP EVERYTHINGS BELOW
    5·2 answers
  • Part A:
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!