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Helga [31]
3 years ago
11

Simplify tan 9x - tan 5x / 1 + tan 9x tan 5x.

Mathematics
1 answer:
ANTONII [103]3 years ago
6 0

Simplification of \frac{\tan 9 x-\tan 5 x}{1+\tan 9 x \tan 5 x}  is tan⁡ 4x

<u>Solution: </u>

By using sum-difference formula for tangent,  

Tangent of difference between two angles is written as,

\tan (x-y)=\frac{\tan x-\tan y}{1+\tan x \tan y}(\text { Equation } 1)

By comparing the above equation 1 with \frac{\tan 9 x-\tan 5 x}{1+\tan 9 x \tan 5 x}   ,  

we get x = 9x and y = 5x

By substituting  x =  9x and y = 5x in equation 1,

\begin{array}{l}{\tan (9 x-5 x)=\frac{\tan 9 x-\tan 5 x}{1+\tan 9 x \tan 5 x}} \\\\ {\tan (4 x)=\frac{\tan 9 x-\tan 5 x}{1+\tan 9 x \tan 5 x}} \\\\ {\text { Therefore, } \frac{\tan 9 x-\tan 5 x}{1+\tan 9 x \tan 5 x}=\tan 4 x}\end{array}

Hence by using difference formula for tangent,  \frac{\tan 9 x-\tan 5 x}{1+\tan 9 x \tan 5 x}  is simplified as tan⁡4x

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vova2212 [387]

Question 32):  

<u>Least To Greatest:</u>

-7/2,    -2.8,   -5/4,  4/3,  1.3

<u>Number of Inputs:   </u>

<u>5</u>

<u>Ascending Order (Least to Greatest)/Smallest to Largest:  </u>

-7/2,    -2.8,   -5/4,  1.3,  4/3

 

<u>Descending Order (Greatest to Least/Largest to Smallest):</u>

4/3, 1.3, -5/4, -2.8, -7/2





Hope that helps!!!                                         : )



3 0
3 years ago
Write the sentence as an inequality.<br> The sum of a number w and 4 is more than -12.
Rudiy27

Answer:

the answer is w + 4 › -12

Step-by-step explanation:

gxyexdx

5 0
2 years ago
Suppose x + y = 13 and the value of x increases by 4. If their sim remain the same, what must happen to the value of y?
Oksi-84 [34.3K]
The value of y would decrease if x increases and the sum stays the same.
6 0
3 years ago
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Help?<br>Which 2 data sets appear to be the most similar?
dybincka [34]

Answer:

I would say B-C too.

Step-by-step explanation:

im pretty sure.

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2 years ago
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The controller of MingWare Ceramics Inc. wishes to prepare a cost of goods sold budget for September. The controller assembled t
zalisa [80]

The preparation of the Cost of Goods Sold Budget for MingWare Ceramics Inc. in September is as follows:

<h3>Cost of Goods Sold Budget: </h3>

Beginning inventory of finished goods $11,850

Cost of goods manufactured                485,310

Ending inventory of finished goods      (12,670)

Cost of Goods Sold                          $484,490

<h3>What is the cost of goods sold budget?</h3>

The cost of goods sold budget sums the costs of the beginning inventory of finished goods with the cost of goods manufactured and subtracts the ending inventory of finished goods.

The cost of goods sold budget is based on the cost of goods manufactured budget.

<h3>Data and Calculations:</h3>

Direct materials:                            Enamel        Paint     Porcelain      Total    

Total direct materials purchases

budgeted for September            $35,870    $7,530    $139,890  $183,290

Estimated inventory, September 1   1,730        4,150          6,920      12,800 Desired inventory, September 30 (2,980)      (2,710)         (7,150)    (12,840)

Materials used in production                                                          $183,250

Direct labor cost:           Kiln Department    Decorating Department   Total

Total direct labor cost

 budgeted for September    $51,550                   $149,500        $201,050

Finished goods inventories:             Dish       Bowl     Figurine             Total

Estimated inventory, September 1  $5,810   $3,310     $2,730        $11,850

Desired inventory, September 30    3,720    4,590       4,360         12,670

<h3>Cost of goods manufactured budget: </h3>

Work in process inventories:

 Estimated inventory, September 1      $3,540

Direct materials used in production $183,250

Direct labor costs                              $201,050

Total factory overhead costs             $99,450

 Desired inventory, September 30       (1,980)

Cost of goods manufactured           $485,310

<h3>Budgeted factory overhead costs for September: </h3>

Indirect factory wages $80,400

Depreciation of plant and equipment 10,550

Power and light 5,110

Indirect materials 3,390

Total 99,450

Thus, to prepare the cost of goods sold, as above, MingWare Ceramics, requires to determine the cost of goods manufactured for September.

Learn more about the cost of goods sold budget at brainly.com/question/16868017

SPJ1

6 0
1 year ago
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