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
Vadim26 [7]
2 years ago
11

E2%80%8B%7D%7D%20%5C%5C%20" id="TexFormula1" title="Evaluate: \sqrt{ \frac {1 - sin(x)}{1 + sin(x)​​}} \\ " alt="Evaluate: \sqrt{ \frac {1 - sin(x)}{1 + sin(x)​​}} \\ " align="absmiddle" class="latex-formula">
Solve this problem please..​​
Mathematics
2 answers:
stealth61 [152]2 years ago
7 0

\large\underline{\sf{Solution-}}

We have to <u>evaluate</u> the given <u>expression</u>.

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

If we multiple both numerator and denominator by 1 - sin(x), then the value remains same. Let's do that.

\rm =  \sqrt{ \dfrac{[1 -  \sin(x)][1 -  \sin(x) ]}{[1 +  \sin(x)][1 -   \sin(x) ]} }

\rm =  \sqrt{ \dfrac{[1 -  \sin(x)]^{2}}{1-   \sin^{2} (x) } }

<u>We know that:</u>

\rm \longmapsto { \sin}^{2}(x) +  \cos^{2}(x)  = 1

\rm \longmapsto  \cos^{2}(x)  = 1 -  { \sin}^{2}(x)

Therefore, <u>the expression becomes:</u>

\rm =  \sqrt{ \dfrac{[1 -  \sin(x)]^{2}}{\cos^{2} (x)}}

\rm =  \dfrac{1 -  \sin(x)}{\cos(x)}

\rm =  \dfrac{1}{\cos(x)} -  \dfrac{ \sin(x) }{ \cos(x) }

\rm =  \sec(x) -  \tan(x)

zmey [24]2 years ago
3 0

\sqrt{ \frac{ \cos(n) }{1 +  \:  \sin(n) } }

<em>see </em><em>the </em><em>attachment</em><em>!</em><em>!</em>

hope it helps

#carryolearning

You might be interested in
♥||Please help A.S.A.P i will mark you brainliest!||♥
photoshop1234 [79]

Answer:

90°-43°=47°

Step-by-step explanation:

complementary is two angles added up to 90 degrees

I hope this helps :)

3 0
3 years ago
Aisha wants to make a dog bed for her new puppy. She buys 2.5 yards of fabric. If the fabric costs $4.90 per yard, how much does
balu736 [363]

Answer:

$12.25

Step-by-step explanation:

2.5 yards of fabric * $4.90 per yard of fabric = $12.25. Hope this helps!

3 0
3 years ago
A local pet store sells a variety of animal supplies and pet accessories. The pet store has different sections for dogs, cats, b
Debora [2.8K]
The answer is d for this problem
8 0
3 years ago
Rectangular prism has a volume of 500 in.³ and the area of the base is 25 in.² what is the height of the rectangular prism
Evgesh-ka [11]

Answer:

20 in

Step-by-step explanation:

Vol. = Bh    where B  is the area of the base and h is the height of the prism

500 = 25h

h = 20 in

3 0
2 years ago
Find the area of this parallelogram.
Grace [21]
Answer: A
i hope it helped
3 0
3 years ago
Other questions:
  • Triangle L N M is shown. Angle L N M is a right angle. Angle N L M is 70 degrees and angle N M L is 20 degrees. The length of hy
    14·2 answers
  • Let t = 5. What is the value of 5t – 5? A. 0 B. 20 C. 45 D. 50
    8·2 answers
  • What Is the GCF of the group 6x-3?
    12·1 answer
  • If x is the product of the integers from 1 to 150, inclusive, and 5^y is a factor of x, what is the greatest possible value of y
    5·1 answer
  • Given LINELR, solve for X.<br> ,<br> η<br> ΟΟΟΟ
    11·1 answer
  • Please please please help me
    6·1 answer
  • What is the electrical charge If you have 10 protons and 10 neutrons
    10·1 answer
  • Um another Distributive Property question ahah,
    15·1 answer
  • What is the difference between-2 and -8
    5·1 answer
  • Hi there- kinda confused on this
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!