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
sashaice [31]
3 years ago
5

How to simplify tan(x)/ cos(x)-sec(x)

Mathematics
1 answer:
Artemon [7]3 years ago
7 0
<span> tan(x)/ cos(x)-sec(x)
tanx/(cosx-1/cosx)
tanx/cos^2x-1)--------------------1-sin^2x=cos^2x
-tanx/sin^2x
-(sinx/cosx)/sin^2x
-1/sinxcosx
multiply 2/2
-2/2sinxcosx-------------sin2x=2sincosx
-2/sin2x------------------1/sinx=cosecx
-2cosec2x</span>
You might be interested in
Look at the two expressions.<br><br>3x−18<br><br>3⋅(x−6)<br><br>Are the two expressions equivalent?
Ivanshal [37]
Yes because if you distribute the 3 and multiply it with 3 • x and 3• 6 you’ll get 3x-18
8 0
3 years ago
Read 2 more answers
A triangle has one side that measures 5 ft, one side that measures 6 ft, and one side that measures 9 ft.
pochemuha

Area= 14.142

Perimeter=20

Height=3.14

5 0
3 years ago
Read 2 more answers
Shawna bought a bag of candy. She ate of the bag on Friday and of the bag on Saturday. What portion of the bag is left?
vodka [1.7K]

Answer:

I believe it would be A hope this helps!

Step-by-step explanation:

5 0
3 years ago
Please help i put a picture below
PSYCHO15rus [73]

Answer:

Step-by-step explanation:

This is not nearly as threatening and scary as I first thought it was.  You must be in the section in Geometry where you are taught that perimeter of similar figures exist in a one-to-one relationship while areas of similar figures exist in a squared-to-squared relationship.  We will use that here.  

The area formula for a regular polygon is

A=\frac{1}{2}ap where a is the apothem and p is the perimeter.  We are first asked for the area of the polygon, but it would make more sense to find the perimeter first, since we need it to find the area.

P = 5(8) so

P = 40

We are given that the area of the triangle inside that polygon is 22.022 units squared.  Knowing that the area formula for a triangle is

A=\frac{1}{2}bh we can sub in what we know and solve to find the height:

22.022=\frac{1}{2}(8)h and

22.022 = 4h so

h = 5.5055 units

It just so happens that the height of that triangle is also the apothem of the polygon, so now we have what we need to find the area of the polygon:

A=\frac{1}{2}(5.5055)(40)

which gives us an area of

A = 110.11 units squared.

Here is where we can use what we know about similar figures and the relationships between perimeters and areas.  We will set up a proportion with the smaller polygon info on top and the larger info on bottom.  We know that the larger is 3 times the smaller, so the ratio of smaller to larger is

\frac{s}{l}:\frac{1}{3}

Since perimeter is one-to-one and we know the perimeter of the smaller, we can create a proportion to solve for the perimeter of the larger:

\frac{s}{l}:\frac{1}{3}=\frac{40}{x}

Cross multiply to get that the perimeter is 120 units.  You could also have done this by knowing that if the larger is 3 times the size of the smaller, then the side measure of the larger is 24, and 24 * 5 = 120.  But we used the way we used because now we have a means to find the area of the larger since we know the area of the smaller.

Area exists in a squared-to-squared relationship of the perimeter which is one-to-one.  If the perimeter ratio is 1:3, then the area relationship is

\frac{s}{l}:\frac{1^2}{3^2} which is, simplified:

\frac{s}{l}:\frac{1}{9}

Since we know the area for the smaller, we can sub it into a proportion and cross multiply to solve for the area of the larger.

\frac{s}{l} :\frac{1}{9} =\frac{110.11}{x}

A of the larger is 990.99 units squared

5 0
3 years ago
What is the measure of
Nastasia [14]

Answer:

70

Step-by-step explanation:

The sum of the angles of a triangle should always add up to 180 degrees.

In this problem, they have given us 2 angle measures of the triangle - 40 degrees and 70 degrees. To figure out the third angle, we simply need to figure out how many more degrees we need for reaching the 180 degrees.

I'm just going to do some simple math:

40 + 70 = 110 (sum of the 2 angles)

180 - 110 = 70 (subtracting 180 by the sum of the 2 angles)

3 0
2 years ago
Other questions:
  • Maury completed a bicycle race 1.5 hours faster than Vince at an average speed of 16 miles per hour. Vince completed the same ra
    6·1 answer
  • Cloud nine is having a sale on all shirts and pants in the store.Olivia purchased 8 shirts 4 pairs of pants for $176.Raheem purc
    6·1 answer
  • Sara reads 250 words per minute for 2 hours and gets tired and reads 125 words per minute for 3 hours. on average how many words
    13·1 answer
  • When any number is multiplied by 6 and the digits of the answer are added the sum will be divisible by 6?
    13·1 answer
  • 4x⁶-12x³+9 factorizar las expresiones
    8·1 answer
  • Help it’s due by 11:59..........................help!
    6·2 answers
  • In May, Jim’s lunch account has a balance of $58.19. If lunch costs $2.74 per day, how many days will Jim be able to buy lunch b
    10·1 answer
  • What is a rational number that isn't an integer?
    9·1 answer
  • An older person is 4 years older than 7 times the age of a younger person. The sum of their ages is 44. Find their ages
    12·1 answer
  • Roger is paid $50 to sell videos of a play to an audience after the play is preformed.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!