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1 year ago

PROVE :(secA+tanA)2 =(1+sinA)/(1/sinA)

1 answer:

6 0

$A=x\\\\(secx+tanx)^2=\frac{1+sinx}{1-sinx}\\\\L=\left(\frac{1}{cosx}+\frac{sinx}{cosx}\right)^2=\left(\frac{1+sinx}{cosx}\right)^2=\frac{(1+sinx)^2}{cos^2x}\\\\=\frac{(1+sinx)^2}{1-sin^2x}=\frac{(1+sinx)^2}{1^2-sin^2x}=\frac{(1+sinx)^2}{(1-sinx)(1+sinx)}=\frac{1+sinx}{1-sinx}=R$

$if\ R=\frac{1+sinx}{\frac{1}{sinx}}=(1+sinx)sinx=sinx+sin^2x\ then\ L\neq R$

$secx=\frac{1}{cosx}\\\\tanx=\frac{sinx}{cosx}\\\\sin^2x+cos^2x=1\to cos^2x=1-sin^2x\\\\a^2-b^2=(a-b)(a+b)$

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Eric has two number cubes each labeled 1 to 6. Eric is going to conduct an experiment by tossing the cubes a total of 180 times.

Lera25 [3.4K]

The possible outcomes are:
$1,1~~1,2~~1,3~~1,4~~1,5~~1,6$
$2,1~~2,2~~2,3~~2,4~~2,5~~2,6$
$3,1~~3,2~~3,3~~3,4~~3,5~~3,6$
$4,1~~4,2~~4,3~~4,4~~4,5~~4,6$
$5,1~~5,2~~5,3~~5,4~~5,5~~5,6$
$6,1~~6,2~~6,3~~6,4~~6,5~~6,6$

The possible products are:
$1~~2~~3~~4~~5~~6$
$2~~4~~6~~8~~10~~12$
$3~~6~~9~~12~~15~~18$
$4~~8~~12~~16~~20~~24$
$5~~10~~15~~20~~25~~30$
$6~~12~~18~~24~~30~~36$

a) There are 36 outcomes.

b) 5/36 * 180 = 25

c) 6/36 * 180 = 30

d) 16/36 * 180 = 80

7 0

1 year ago

Find the product. -1(-27)=0

masha68 [24]

27 is the product I need Brainly points

5 0

1 year ago

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A circle has a circumference of 907.46907.46 units. What is the diameter of the circle?

astra-53 [7]

question is wrong sir

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1 year ago

A population of 40,000 decreases by 3.1% each year. what is the approximate population in 4 years

coldgirl [10]

$\bf \textit{Amount of Population Decay} \\\\ A=Pe^{-rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &40000\\ r=rate\to 3.1\%\to \frac{3.1}{100}\dotfill &0.031\\ t=\textit{elapsed time}\dotfill &4\\ \end{cases} \\\\\\ A=4000e^{-0.031(4)}\implies A=40000e^{-0.124}\implies A=\cfrac{4000}{e^{0.124}} \\\\\\ A\approx 35335.194\implies \stackrel{\textit{rounded up}}{A\approx 35335}$

7 0

1 year ago

tank a has 100 gallons of water and is being filled at a rate of 2 gallons per hour. tank b has 140 gallons and is being drained

Artist 52 [7]

Answer:

5 hours must pass

Step-by-step explanation:

Graph the equations y = 2x + 100 and y = -6x + 140

Then find the x intercept of their intersection, in this case, that is 5

5 0

10 months ago