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
s344n2d4d5 [400]
3 years ago
5

Prove that 1+sinx/1-sinx -1-sinx/1+sinx=4tanxsecx

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
3 0
If interpreted as shown, the order is shown in the lines following
1+sin(x)/1-sin(x)-1-sin(x)/1+sin(x)
=1 + ((sin(x))/1)  - sin(x) -1 - (sin(x)/1)  + sin(x)
which is completely meaningless for the purpose of this question.

The left-hand side is
\frac{1+sin(x)}{1-sin(x)}-\frac{1-sin(x)}{1+sin(x)}
common denominator is (1-sin(x))(1+sin(x)), so
=\frac{(1+sin(x))(1+sin(x)-(1-sin(x))(1-sin(x))}{(1+sin(x)(1-sin(x)}
=\frac{(1+sin(x))^2-(1-sin(x))^2}{(1+sin(x)(1-sin(x)}
=\frac{(1+1)(2sin(x))}{(1-sin^2(x)}  using a^2-b^2=(a+b)(a-b)
=\frac{4sin(x)}{cos^2(x)}
=\frac{4tan(x)}{cos(x)}
=4tan(x)sec(x)<span>

Therefore 
</span>\frac{1+sin(x)}{1-sin(x)}-\frac{1-sin(x)}{1+sin(x)}=4tan(x)sec(x)
You might be interested in
A: the result of andre's first step was -x+6= -8
marishachu [46]

Answer:

Andre subtracted 3x from both sides while Diego subtracted 2x from both sides

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
David and Mark are marking exam papers. Each set takes David 61 minutes and Mark 1 hour. Express the times David and Mark take a
Levart [38]

Answer:

61 : 60

Step-by-step explanation:

Well to make a ratio, you just have to have David time : Mark time

So if you convert Mark's time into minutes, it is 60 minutes

61 : 60

That's the simplest form.

4 0
4 years ago
Read 2 more answers
The number 5 is????
Sunny_sXe [5.5K]
Hi Again The Answer Is A Prime Glad To Help! :)
5 0
3 years ago
Which three-dimensional figure has the greatest number of faces?
irina1246 [14]
ITS B  , <span>octagonal pyramid</span>
6 0
3 years ago
Read 2 more answers
¿Cual es el monto producido por un capital de 7200 colocados al 4% anual durante 3 años y 4 meses ? ( interés)
Mrac [35]
Creo que 1860? :) lo siento si esta mal
8 0
3 years ago
Other questions:
  • Is -7-5+3=1 true or false
    5·1 answer
  • Identify each sequence as arithmetic or geometric. Explain your answer, and write an explicit formula for the
    9·1 answer
  • X/3 + 1/1<br>pls answer if you know ​
    13·2 answers
  • Chad ran 1/2 mile in 3/4 of an hour. At this rate of speed, how far would he run in 2 hours?
    9·1 answer
  • Mrs. Hanson has a potato salad recipe that calls for 238 pounds of potatoes, but she wants to make 112 times as much as the reci
    7·1 answer
  • Convert into polar form: <br> y = -x
    11·1 answer
  • 12. Which of the following shows the domain and range of F(x) = 2 |x|?
    8·1 answer
  • The diagram below shows a sign that Annie designed. It is made of two circles that share the same center. Annie wants to use str
    15·1 answer
  • What are the solutions of the equation x^4+3x^2+2=0? Use u substitution to solve.
    6·1 answer
  • The pool company has learned that, by pricing a newly released Fun Noodle at $5, sales with reach 8000 Fun noodles per day durin
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!