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4 years ago

Which number is the greatest absolute value? Pick one: -12,10,-8, or 6

2 answers:

7 0

Absolute value is basically the distance the away a number is from 0. its always going to be positive. so to find the number with the largest absolute value just pick the largest number, regardless of if its positive or negative.in this case it would be 12.

Rom4ik [11]4 years ago

4 0

-12 because if you put a negative in an absolute value you get a positive number so twelve is the largest number that can be put in an absolute value.

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) f) 1 + cot²a = cosec²a

notsponge [240]

Answer:

It is an identity, proved below.

Step-by-step explanation:

I assume you want to prove the identity. There are several ways to prove the identity but here I will prove using one of method.

First, we have to know what cot and cosec are. They both are the reciprocal of sin (cosec) and tan (cot).

$\displaystyle \large{\cot x=\frac{1}{\tan x}}\\\displaystyle \large{\csc x=\frac{1}{\sin x}}$

csc is mostly written which is cosec, first we have to write in 1/tan and 1/sin form.

$\displaystyle \large{1+(\frac{1}{\tan x})^2=(\frac{1}{\sin x})^2}\\\displaystyle \large{1+\frac{1}{\tan^2x}=\frac{1}{\sin^2x}}$

Another identity is:

$\displaystyle \large{\tan x=\frac{\sin x}{\cos x}}$

Therefore:

$\displaystyle \large{1+\frac{1}{(\frac{\sin x}{\cos x})^2}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{1}{\frac{\sin^2x}{\cos^2x}}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}$

Now this is easier to prove because of same denominator, next step is to multiply 1 by sin^2x with denominator and numerator.

$\displaystyle \large{\frac{\sin^2x}{\sin^2x}+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}\\\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}$

Another identity:

$\displaystyle \large{\sin^2x+\cos^2x=1}$

Therefore:

$\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}\longrightarrow \boxed{ \frac{1}{\sin^2x}={\frac{1}{\sin^2x}}}$

Hence proved, this is proof by using identity helping to find the specific identity.

6 0

3 years ago

To convert 0.73 hours into minutes which ratio would you multiply by. a 1 minute/ 60 hours

Serjik [45]

60 min / 1 hour. ...

4 0

4 years ago

On a coordinate plane, a triangle has points R (negative 1, 3), S (3, negative 2), and T (1, negative 4). Which reflection will

myrzilka [38]

Answer:

a reflection of ΔRST across the line y = –x

Step-by-step explanation:

A reflection across the line y = –x transforms point (x, y) into (-y, -x)

After reflecting ΔRST across the line y = –x we get:

R (-1, 3) -> (-3, 1)

S (3,-2) -> (2, -3)

T (1, -4) -> (4, -1)

where S is at the desired vertex

8 0

3 years ago

Read 2 more answers

Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them.

Slav-nsk [51]

Okay so first since there are 4 red marbles, 4 blue marbles, and 12 yellow marbles, you add them together so the whole total would be 20 marbles now. Since there are 4 marbles, the probability of her pulling it out would be 4/20. So now that she took 1 red marble away, we have 19 marbles left. So now that has been finished, she 1 more yellow marble away so now we have 12/19. Now that it's completed you multiply the two, and now you should have 12/95, divide 12/95 and you'll get 0.126315789 in other words rounded that too the nearest hundredth and you'll get 0.13

7 0

3 years ago

Read 2 more answers

Everett and Marie are going to make brownies for their family reunion. They want to make 4 times the amount of the recipe makes.

KonstantinChe [14]

2/3 x4 = 8/12

therefore,
They will need 8/12 cup oil

3 0

3 years ago