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tatiyna
3 years ago
7

Factor: 4tan^2x-(4)/(cotx)+sinx(cscx) ...?

Mathematics
1 answer:
lisov135 [29]3 years ago
8 0
4tan^(2)x-((4)/(cotx))+sinxcscx 


Multiply -1 by the (4)/(cotx) inside the parentheses. 

4tan^(2)x-(4)/(cotx)+sinxcscx 


To add fractions, the denominators must be equal. The denominators can be made equal by finding the least common denominator (LCD). In this case, the LCD is cotx. Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions. 


4tan^(2)x*(cotx)/(cotx)-(4)/(cotx)+sin... 


Complete the multiplication to produce a denominator of cotx in each expression. 

(4tan^(2)xcotx)/(cotx)-(4)/(cotx)+(cot... 


Combine the numerators of all expressions that have common denominators. 
<span>
(4tan^(2)xcotx-4+cotxsinxcscx)/(cotx)</span>
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In ∆ABC with m∠C = 90° the sides satisfy the ratio BC:AC:AB = 4:3:5. If the side with middle length is 12 cm, find: 1) The perim
olga55 [171]
*The side with the middle length is 12cm, therefore BC must be 12 cm

------------------------------------------------------------<span>
Ratio 
------------------------</span>---------------------------------<span>--
BC:AC:AB
  4 : 3 : 5

</span>-----------------------------------------------------------
<span>Find 1 share
</span>-----------------------------------------------------------<span>
Given that BC = 12 cm
4 shares = 12 cm
1 share = 12 ÷ 4 = 3cm

</span>-----------------------------------------------------------
Find AC (4 shares)
-----------------------------------------------------------<span>
3 shares = 3 x 3 = 9 cm
BC = 9cm

</span>-----------------------------------------------------------
<span>Find AB (5 shares)
</span>-----------------------------------------------------------<span>
5 shares = 5 x 3 = 15cm
AB = 15cm

</span>------------------------------------------------------------
Length
-----------------------------------------------------------
   BC   :  AC   :  AB
12cm  :  9cm : 15cm<span>

---------------------------------</span>---------------------------------<span>
Perimeter
</span>------------------------------------------------------------------
<span>12 + 9 + 15 = 36cm

</span>------------------------------------------------------------------
<span>Answer: The perimeter is 36cm
</span>------------------------------------------------------------------<span>

</span>------------------------------------------------------------------
<span>Area
</span>------------------------------------------------------------------
1/2 x 9 x 12 = 54cm²<span>

</span>------------------------------------------------------------------
Answer: Area = 54cm²
------------------------------------------------------------------<span>

Given that the biggest ratio is AB
</span>⇒AB is the hypotenuse
AB = 15 cm

------------------------------------------------------------------
Answer: Hypotenuse = AB = 15cm
------------------------------------------------------------------
8 0
3 years ago
Read 2 more answers
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Answer:

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-24 is the answer

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Hope this helps

Step-by-step explanation:

3 0
3 years ago
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