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sashaice [31]
2 years ago
5

How to simplify tan(x)/ cos(x)-sec(x)

Mathematics
1 answer:
Artemon [7]2 years ago
7 0
<span> tan(x)/ cos(x)-sec(x)
tanx/(cosx-1/cosx)
tanx/cos^2x-1)--------------------1-sin^2x=cos^2x
-tanx/sin^2x
-(sinx/cosx)/sin^2x
-1/sinxcosx
multiply 2/2
-2/2sinxcosx-------------sin2x=2sincosx
-2/sin2x------------------1/sinx=cosecx
-2cosec2x</span>
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Rewrite the equation by completing the square 4x^2-4x+1=0
oee [108]

Answer:

4(x - \frac{1}{2} )² = 0

Step-by-step explanation:

Given

4x² - 4x + 1 = 0

To complete the square the coefficient of the x² term must be 1

Factor out 4 from 4x² - 4x

= 4(x² - x) + 1 = 0

add/subtract ( half the coefficient of the x- term )² to x² - x

4(x² + 2(- \frac{1}{2} )x + \frac{1}{4} - \frac{1}{4} ) + 1 = 0

4(x - \frac{1}{2} )² - 1 + 1 = 0

4(x - \frac{1}{2} )² = 0

8 0
2 years ago
Read 2 more answers
What type of number is this?<br>0.707070...​
AfilCa [17]

Answer:

A repeating decimal...

Step-by-step explanation:

Because the numbers after the decimal points keep repeating.

4 0
3 years ago
2. An electronics store sold 1,500 CD's this year. The previous year, the store sold 990
Vera_Pavlovna [14]

Answer:

52%

Step-by-step explanation:

First, find the difference between this year's sales and the previous'. 1500-990=510.

Now we can divide 990 by 510 to find the percent increase. 510/990=0.515151515152, or 52%.

8 0
3 years ago
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Y=1/2x+3<br> -x+27=-6 <br><br> solve using substitution
Nat2105 [25]

Answer:

y= 19.5    x=33

Step-by-step explanation:

-x + 27= -6

(subtract 27 on both sides)

-x= -33

(divide by negative 1 on both sides)

x= 33

(substitute x into the first equation)

y= 1/2x + 3

y= 1/2(33) +3

y= 16.5 +3

y= 19.5

hope this helps :))

3 0
3 years ago
HELP IF YOU SOLVE THIS 100 PTS
mariarad [96]
Calculater I'm pretty sure
3 0
3 years ago
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