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3 years ago

How do I graph f(x)= -cos(x-pi)?

1 answer:

3 0

Just exactly as you graph any other function: List a bunch of values for 'x', find the value of the function for each one, and start graphing the points, until you have enough points to see the shape of the function, and can draw more of it without more points. When you do that, you'll discover that -cos (x-pi) is equal to cos (x).

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Please help me answer this question

ratelena [41]

By the definition of the hyperbolic function tanh x, we have proven that $\frac{1-tanh \ x}{1 + tanh \ x}=e^{-2x}$

<h3>Hyperbolic functions & Proof of identities </h3>

By definition

$tanh \ x=\frac{e^{x} -e^{-x}}{e^{x} +e^{-x}}$

Then,

$\frac{1-tanh \ x}{1 + tanh \ x}=\frac{1-\frac{e^{x} -e^{-x}}{e^{x} +e^{-x}} }{1+ \frac{e^{x} -e^{-x}}{e^{x} +e^{-x}} }$

$=1-\frac{e^{x} -e^{-x}}{e^{x} +e^{-x}} \div (1+ \frac{e^{x} -e^{-x}}{e^{x} +e^{-x}} })$

$=\frac{e^{x} +e^{-x}-(e^{x} -e^{-x})}{e^{x} +e^{-x}} \div (\frac{e^{x} +e^{-x}+e^{x} -e^{-x}}{e^{x} +e^{-x}} })$

$=\frac{e^{x} +e^{-x}-e^{x} +e^{-x}}{e^{x} +e^{-x}} \div \frac{e^{x} +e^{-x}+e^{x} -e^{-x}}{e^{x} +e^{-x}} }$

$=\frac{e^{-x}+e^{-x}}{e^{x} +e^{-x}} \div \frac{e^{x} +e^{x} }{e^{x} +e^{-x}} }$

$=\frac{2e^{-x}}{e^{x} +e^{-x}} \div \frac{2e^{x} }{e^{x} +e^{-x}} }$

$=\frac{2e^{-x}}{e^{x} +e^{-x}} \times \frac{e^{x} +e^{-x}}{2e^{x}}$

$=\frac{2e^{-x}}{1} \times \frac{1}{2e^{x}}$

$=\frac{2e^{-x}}{2e^{x}}$

$=\frac{e^{-x}}{e^{x}}$
$=e^{-x} \times \frac{1}{e^{x}}$

$= e^{-x} \times e^{-x}$

$= e^{-x+-x}$

$= e^{-x-x}$

$= e^{-2x}$

Hence, we have proven that $\frac{1-tanh \ x}{1 + tanh \ x}=e^{-2x}$

Learn more on Proof of Identities here: brainly.com/question/2561079

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6 0

2 years ago

1. The distance in feet that Karina swims in a race is represented by 4d-4, where d is the distance for each lap. What is an exp

MatroZZZ [7]

Did you get the answer?

3 0

3 years ago

Find m<1.<br> A.30<br> B.35<br> C.40<br> D.55

mihalych1998 [28]

Answer:

m <1 = 30

Step-by-step explanation:

The sum of the angles of a triangle add to 180

Let x be the unknown angle

75+75+x = 180

Combine like terms

150+x =180

Subtract 150 from each side

150-150+x = 180-150

x = 30

5 0

3 years ago

F(x)=-10x2+500x+7615

emmasim [6.3K]

Answer:

i have no idea , try a calculator online for this subject.

Step-by-step explanation:

3 0

4 years ago

you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct

bulgar [2K]

Answer:

A) 26.563 miles in total

B) 1.977 more miles

Step-by-step explanation:

for the first question, add all the values together. for the second question, take the amount jade ran and subtract the amount noah ran from it to get how much more jade ran.

3 0

3 years ago