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
larisa [96]
4 years ago
14

Rewrite the expression in terms of the given function 1/1-sinx - sinx/1+sinx

Mathematics
1 answer:
Feliz [49]4 years ago
7 0
Your question seems a bit incomplete, but for starters you can write

\dfrac1{1-\sin x}-\dfrac{\sin x}{1+\sin x}=\dfrac{1+\sin x}{(1-\sin x)(1+\sin x)}-\dfrac{\sin x(1-\sin x)}{(1+\sin x)(1-\sin x)}=\dfrac{1+\sin x-\sin x(1-\sin x)}{(1-\sin x)(1+\sin x)}

Expanding where necessary, recalling that (1-\sin x)(1+\sin x)=1-\sin^2x=\cos^2x, you have

\dfrac{1+\sin x-\sin x(1-\sin x)}{(1-\sin x)(1+\sin x)}=\dfrac{1+\sin x-\sin x+\sin^2x}{\cos^2x}=\dfrac{1+\sin^2x}{\cos^2x}

and you can stop there, or continue to rewrite in terms of the reciprocal functions,

\dfrac{1+\sin^2x}{\cos^2x}=\sec^2x+\tan^2x

Now, since 1+\tan^2x=\sec^2x, the final form could also take

\sec^2x+\tan^2x=\sec^2x+(\sec^2x-1)=2\sec^2x-1

or

\sec^2x+\tan^2x=(1+\tan^2x)+\tan^2x=1+2\tan^2x
You might be interested in
What is the approximate solution of this system of equations?
PolarNik [594]

y = x2 + 3x + 3  

y = x2 + x + 2

y=y

x2+ 3x + 3  =x2 +  x+ 2  

x2 - x2 + 3x - x = 2 - 3

2x = -1

x = -1/2

5 0
4 years ago
Suppose M is the midpoint of line FG. Use the given information to find the missing measure or value.
ExtremeBDS [4]
(3x-4)+(5x-26)

3x-4+5x-26

8x-30 = FG
7 0
3 years ago
If one would dissolve 60g of sugar in 300g of water, what would the concentration of sugar in this syrup be?
Pie
Density of water = 1000 kg/m^3
1 m^3 = 1000 litres

Therefore,
1000 kg/1000 l => 1 kg/l => 1000 g/l

Then, 300 g of water = 300/1000 l = 0.3 l

The concentration of the syrup =  mass/amount of water = 60 g/0.3 l = 200 g/l 
3 0
4 years ago
Quick! Please Help Me ASAP!
Alisiya [41]
Y=10x+20

10x because the price is $10 a class

+20 because it costs $20 for the monthly subscription
6 0
3 years ago
Read 2 more answers
There is a paint chip on the edge of a gear for a music box. It rotates to (−7, 3) during one song when represented graphically.
lys-0071 [83]
I hope this helps you

6 0
3 years ago
Other questions:
  • Our product is 72. the difference between us is 1. what number are we?
    15·1 answer
  • What is the value of x if x * x + 2x -35 = 0?
    12·1 answer
  • 36x^2-21x-30 factor
    12·1 answer
  • PLEASE HELP!!!! <br> What is the range of the data set? <br> 68 88 113 156 113 210 145
    9·1 answer
  • The number 49 has exactly three factors. Since 98 is a multiple of 49, which must be true of 98? It must have only two factors.
    14·1 answer
  • Daniel reads 9 pages of a books day after reading the book 2 days he still has 3 pages to read how many pages are there in the b
    8·1 answer
  • Jaws made his figure from six congruent squares the edge of each square was 8 inches which figure did Josh construct what is the
    8·1 answer
  • Complete the two-column proof.
    15·2 answers
  • Hector had 30 minutes to do a three-problem quiz. He spent 11 3 4 minutes on question A and 6 1 2 minutes on question B. How muc
    8·1 answer
  • Solve - x/6 less than or equal to 3
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!