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
forsale [732]
3 years ago
5

Plz help me with this...there might be errors in this but I'm not sure ​

Mathematics
1 answer:
Flura [38]3 years ago
8 0

Step-by-step explanation:

1.  cot(A − B)

From angle sum/difference equations, we know this equals:

cot(A − B) = (cot A cot B + 1) / (cot B − cot A)

But we also know it equals:

cot(A − B) = 1 / tan(A − B)

cot(A − B) = (1 + tan A tan B) / (tan A − tan B)

Setting the two equal to each other:

(cot A cot B + 1) / (cot B − cot A) = (1 + tan A tan B) / (tan A − tan B)

Writing tangent in terms of cotangent:

(cot A cot B + 1) / (cot B − cot A) = (1 + 1 / (cot A cot B)) / (tan A − tan B)

(cot A cot B + 1) / (cot B − cot A) = ((cot A cot B + 1) / (cot A cot B)) / (tan A − tan B)

(cot A cot B + 1) / (cot B − cot A) = (cot A cot B + 1) / ((cot A cot B) (tan A − tan B))

Divide both sides by the numerator:

1 / (cot B − cot A) = 1 / ((cot A cot B) (tan A − tan B))

Take inverse of both sides:

cot B − cot A = (cot A cot B) (tan A − tan B)

Solve for cot A cot B:

cot A cot B = (cot B − cot A) / (tan A − tan B)

cot A cot B = a / b

Now substitute into the first angle difference equation we wrote earlier:

cot(A − B) = (cot A cot B + 1) / (cot B − cot A)

cot(A − B) = (a / b + 1) / a

cot(A − B) = (a / b) / a + 1 / a

cot(A − B) = 1 / b + 1 / a

2. cos A / (1 ± sin A)

From angle sum/difference formulas, we know:

sin (90 ± A) = cos A

cos (90 ± A) = ∓ sin A

Substituting:

sin (90 ± A) / (1 − cos (90 ± A))

From half angle formula, this equals:

cot (45 ± A/2)

Using reflection:

-cot (-45 ∓ A/2)

And finally, phase shift:

tan (-45 ∓ A/2 + 90)

tan (45 ∓ A/2)

Check that you wrote the problem correctly.  Looks like you switched ∓ with ±.

You might be interested in
PLSS HELP
Dmitry [639]

Answer:

$8,000

Step-by-step explanation:

Let the store earned $x in December.

Therefore,

Money spent to buy new inventory =\frac{1}{4} x

Remaining money = x - \frac{1}{4} x =\frac{3}{4} x

Money used to pay bills =\frac{1}{2} \times \frac{3}{4} x=\frac{3}{8} x

Money still left over = $3,000

Total money earned in December = \frac{1}{4} x+ \frac{3}{8} x+3,000

\therefore x= \frac{1}{4} x+ \frac{3}{8} x+3,000

\therefore x= \frac{2}{8} x+ \frac{3}{8} x+3,000

\therefore x= \frac{5}{8} x+ 3,000

\therefore x- \frac{5}{8} x=3,000

\therefore \frac{8x-5x}{8} =3,000

\therefore \frac{3x}{8} =3,000

\therefore x =3,000\times \frac {8}{3}

\therefore x =1,000\times 8

\therefore x =\$8,000

Thus, total money earned in December is $8,000.

3 0
3 years ago
Find the perimeter and area of rectangle ABCD.
iragen [17]
Area = Length X Width
Perimeter = l(2) x W(2)
what are the measures of this rectangle?

3 0
3 years ago
Identify the level of measurement of data and explain what is wrong with the given calculation. In a set of data car ranking rep
eimsori [14]

There are different levels of measurement that have been classified into four categories. It is important for the researcher to understand the different levels of measurement, as these levels of measurement play a part in determining the arithmetic and the statistical operations that are carried out on the data.

In ascending order of precision, the four different levels of measurement are:

<span>nominalordinalinterval<span>ratio</span></span>
8 0
3 years ago
To make rice you need to use 1 cup of rice for every 2 cups of water. How many cups of rice will be needed for 1 cup of water?
Ratling [72]

Answer:

1/2 a cup

Step by step example:

4 0
2 years ago
Need help on this please
Jobisdone [24]

Answer:

157.08m²

Step-by-step explanation:

Since the area of a circle is A=πr²

The radius is 10, so

A=π10²

A=314.16 (rounded to nearest hundredth)

Half of that is 157.08.

6 0
2 years ago
Other questions:
  • library library currently has 125 audiobook the library plan purchase the same number of books each month after 4 months the lib
    9·1 answer
  • PLEASE HELP ME!!!
    8·2 answers
  • Simplify the expression.
    11·1 answer
  • 15 points I need help plz ASAP
    8·1 answer
  • What is the rate of change between the interval of x = 3 pi over 2 and x = 2π?
    15·2 answers
  • How do you graph big numbers on a graph?
    8·2 answers
  • Sin (a/2) = + or - sqrt 1-cos a / 2 <br> for all values of a.<br> A. True<br> B. False
    7·1 answer
  • PLEASE I NEED HELP ASAP
    8·1 answer
  • ∠ACB is inscribed in semicircle ACB of a circle with centre O then m∠ACB =
    11·2 answers
  • I'm not sure what trig function to use. Someone please help, and please answer sedulously, and not just for points. Thank you in
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!