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
pav-90 [236]
3 years ago
14

Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec

x
Mathematics
1 answer:
expeople1 [14]3 years ago
4 0

Answer:

cot x = \frac{cos x}{sin x}

cos x \frac{cos x}{sin x} + sin x

\frac{cos^2 x}{sin x} +sin x

sin^2 x + cos^2 x =1

Solving for cos^2 x we got cos^2 x =1 -sin^2 x and replacing this we got:

\frac{1-sin^2 x}{sin x} +sin x

\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x

csc x -sin x + sin x = csc x

And then the best option for this case would be:

b.csc x

Step-by-step explanation:

For this case we have the following expression given:

cos x cot x + sin x

We know from math properties that the definition for cot is cot x = \frac{cos x}{sin x}

If we use this definition we got:

cos x \frac{cos x}{sin x} + sin x

\frac{cos^2 x}{sin x} +sin x

Now we can use the following identity:

sin^2 x + cos^2 x =1

Solving for cos^2 x we got cos^2 x =1 -sin^2 x and replacing this we got:

\frac{1-sin^2 x}{sin x} +sin x

\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x

csc x -sin x + sin x = csc x

And then the best option for this case would be:

b.csc x

You might be interested in
Solve 2x+y=7 for y what is y ?
masha68 [24]
You cant solve y but you can form an equation in terms of y
which is y=7-2x

if you were given another equation that has the term y and x than you can solve it.also that is a simultaneous equation.

Hope this helps,dont forget to put this as the brainliest answer if it does to help me out too. xD
6 0
3 years ago
Read 2 more answers
Which is the function represented by the table?
zheka24 [161]
The answer is A, you would plug in 3 for fx so therefore the answer would be A. Then to make sure plug in the other functions.:)
5 0
3 years ago
Read 2 more answers
I need help on this question plz
soldi70 [24.7K]

Cylinders are 3D figures, as they are solids with volume and take up space.

2D figures are flat figures that you can draw, like a square or circle.

1D figures are actually just a line, a segment, or a point, etc.

8 0
2 years ago
Find the commission based on total sales of $152,000 and a commission rate of 1.25%
Sliva [168]

Answer: $1900

Step-by-step explanation:

Simple math

5 0
2 years ago
Simplify *show work!!* <br> (X^6)^1/2
Elza [17]

Answer:

x^{3}

Step-by-step explanation:

in powers:

when there is x to the power of 6 to the power of 6 as an example you should multiply 6x6=36

so in this one try to do it like the one up there

6*\frac{1}{2}=3 so it is x^{3}

8 0
2 years ago
Other questions:
  • The diameter of circle A is EF.<br> True<br> False
    6·1 answer
  • Please help me solve this. <br> -5(f) =-15
    13·1 answer
  • PLEASE HELP REALLY FAST!!! 18 POINTS!!
    10·1 answer
  • A car rental costs $50 for the first day. Additional days cost $35 per day, unless the car is rented for 7 days or more, in whic
    11·2 answers
  • A business ____ is an overview that describes a company's overall functions, processes, organization, products, services, custom
    8·2 answers
  • hettie is stacking paper cups .each stack of 15 cups is 6 inches high. what is the total heightvof 10 stacks of cups ?
    13·1 answer
  • The circumference of a circle is 60pi cm. What is the diameter of the circle?
    5·2 answers
  • From MATH workbook. ​
    11·1 answer
  • In which quadrant of the coordinate graph does point J lie?
    5·2 answers
  • HELP ASAP ITS TIMED
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!