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
fiasKO [112]
2 years ago
6

Simplify cosx ( tanx+cotx)

Mathematics
1 answer:
Soloha48 [4]2 years ago
4 0
The first step to solving this is to use tan(t) = \frac{sin(t)}{cos(t)} to transform this expression.
cos(x) × ( \frac{sin(x)}{cos(x)} + cot(x) )
Using cot(t) = \frac{cos(x)}{sin(x)},, transform the expression again.
cos(x) × ( \frac{sin(x)}{cos(x)} +  \frac{cos(x)}{sin(x)} )
Next you need to write all numerators above the least common denominator (cos(x)sin(x)).
cos(x) × \frac{sin(x)^{2} + cos(x)^{2}  }{cos(x)sin(x)}
Using sin(t)² + cos(t)² = 1,, simplify the expression. 
cos(x) × \frac{1}{cos(x)sin(x)}
Reduce the expression with cos(x).
\frac{1}{sin(x)}
Lastly,, use \frac{1}{sin(t)} = csc(t) to transform the expression and find your final answer.
csc(x)
This means that the final answer to this expression is csc(x).
Let me know if you have any further questions.
:)
You might be interested in
If i have 35% of a phones and its now $78 how much was the phone before the discount
denpristay [2]

Step-by-step explanation:

Multiply $78 by by 65/100 to determine the original price.

78 can be put over 1.

<u>Multiply</u><u>:</u>

\frac{78}{1}  \times  \frac{65}{100}  =  \frac{5070}{100}

<u>Simplify by dividing the numerator and denominator by 100:</u>

\frac{5070 \div 100}{100 \div 100}  =  \frac{50.70}{1}

The original price was $50.70.

7 0
2 years ago
A geologist noticed that a land along a fault line moved 24.8 centimeters over the past 175 years . On average, how much did the
olasank [31]

Answer:

On average, the land moved 0,14 cm each year.

Step-by-step explanation:

To know how much did, on average, the land move,  we should divide the total number of cm over the total number of years:

x=24.8 cm/175 years

x=0,1417 cm each year

If we divide years over cm we will get x in years each cm, which is wrong.

Because the problem asks for the answer rounded to the hundredths place:

x= 0,14 cm each year

8 0
3 years ago
What is the equation of the graphed line written in standard form?
liraira [26]

Answer:

The last one   5x-3y=15   This is the same as  y= (5/3)x -5

Step-by-step explanation:

5x-3y=15

Move 5x to the right (becoming negative)

-3y = -5x +15

Divide everything by - 3

y= (5/3)x -5

  

y intersect= -5   ( line crosses y coordinate at -5)

Slope = 5/3      From -5  you start counting  (5 up,3 right,5 up,3 right....  OR    5 down,3 left,5 down,3 left........)

6 0
3 years ago
Write eqaution that represents the 5th multiple of 13.
uranmaximum [27]

Answer:13 to the 5th power

Step-by-step explanation:

7 0
2 years ago
What is the part and whole of 40% of 20?
pashok25 [27]
The answer is 8

I hope this helps!
5 0
2 years ago
Other questions:
  • What type of graph uses percents to display data?
    8·1 answer
  • I need help with this "The graph shows Ms. Franklin’s salary for the first few years she worked at a company.
    13·2 answers
  • I WILL GIVE YOU 3 COOKIES IF YOU CAN ANSWER THIS QUESTION CORRECTLY
    9·2 answers
  • What is the first step in solving the system shown using the shown using the elimination method? (3x - 12y = 5 | 3y - x = 9 A. M
    14·2 answers
  • K is the midpoint of JL. Given that JK=2x+7 and KL=4x+1, find x, JK, KL, and JL.
    7·1 answer
  • If y = 0.25(100 - y), then what is the value of y?
    7·2 answers
  • What is the value of 21 - 4 × ❒ = 5 ? in the equation below? (Show your work)
    6·1 answer
  • A car that normally sells for $20000 is on sale for $16000 The sales tax is 7.5%​
    10·2 answers
  • Find the zeros of the function p(x) = -9x^2 + 1
    10·1 answer
  • -2/3 x (2 1/2) x (-3)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!