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BaLLatris [955]
3 years ago
8

Using basic trigonometric identities simplify the

Mathematics
1 answer:
katrin2010 [14]3 years ago
6 0

Answer:

b

Step-by-step explanation:

Using the trigonometric identities

cot x = \frac{cosx}{sinx} and tan x = \frac{sinx}{cosx} thus

\frac{cos0}{cot0} + tanΘ × cosΘ

= \frac{cos0}{\frac{cos0}{sin0} } + \frac{sin0}{cos0} × cosΘ

= cosΘ × \frac{sin0}{cos0} + sinΘ

= sinΘ + sinΘ

= 2sinΘ → b

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Find all values of x for which the series converges. (enter your answer using interval notation. ) [infinity] (4x)n n = 1
andreyandreev [35.5K]

The series converges to  1/(1-9x) for -1/9<x<1/9                  

Given the series is  ∑ 9x^{n} x^{n}

We have to find the values of x for which the series converges.

We know,                

∑ ar^{n-1}    converges to  (a) / (1-r) if r < 1

Otherwise the series will diverge.

Here, ∑ (9x)^{n} is a geometric series with |r| = | 9x |

And it converges for |9x| < 1

Hence, the given series gets converge for -1/9<x<1/9

And geometric series converges to a/(1-r)

Here, a = 1 and r = 9x

Therefore, a/(1-r) = 1/(1-9x)

Hence, the given series converges to   1/1-9x  for  -1/9<x<1/9

For more information about convergence of series, visit

brainly.com/question/15415793

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8 0
1 year ago
<img src="https://tex.z-dn.net/?f=2%28a%20%2B%205%29%20-%203%28a%20%2B%207%29%20" id="TexFormula1" title="2(a + 5) - 3(a + 7) "
Kazeer [188]

Answer:

The solutions are given below:

Step-by-step explanation:

x(x-3)+4(x²+2)

= x²-3x+4x²+8

= x²+4x²+8-3x

= 5x²+8-3x

2(a+5)-3(a+7)

= 2a+10-3a-21

= 2a-3a+10-21

= -a-11

xy(x²yz-xy²z+xyz²)

= x³y²z-x²y³z+x²y²z²

-4(a²-2a+8)

= -4a²+8a-32

<h3>Hope it helps !</h3>
8 0
3 years ago
Read 2 more answers
The airport security randomly selected 35 suitcases from in the security line. Of these bags, they screened 7 suitcases. Based o
iVinArrow [24]

Answer: 140

Step-by-step explanation: 7/35 = 5 so for every 5 people 1 will be checked. 700/5= 140

3 0
3 years ago
Which two points lie on a line with an undefined slope?
Ierofanga [76]
Slope formula is
m = (y2 - y1)/(x2 - x1)

A. m = (5 - 0)/(-2 + 2)
m = (5)/(0)
m = error

B. m = (-2 - 0)/(0 + 2)
m = (-2)/(2)
m = -1

C. m = (2 - 0)/(2 - 0)
m = (2)/(2)
m = 1

D. m = (0 - 0)/(2 - 3)
m = (0)/(-1)
m = 0

the undefined slope would be the one that came out as error, so A
6 0
3 years ago
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Two houses on the same side of the street have house numbers that are consecutive
DochEvi [55]

Answer:

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Step-by-step explanation:

'x' = 1st consecutive #

'x+2' = 2nd consecutive #

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2x + 2 = 58

2x = 56

x = 28

x+2 = 30

3 0
2 years ago
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