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Plotting a Point on the Cartesian Plane

Reflect the g...

Question

Reflect the graph of y = cosh x in the line y $=$ x to obtain the graph of the inverse relation. What part of this graph is the graph of y = cosh $^{- 1}$ x ?

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Solution

Here cosh - x will always be 1st quadrant

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Similar questions

Q. The graphs of

y = {cosh}^{- 1} (x)

is the mirror image of that of

y = cosh (x)

along the line y=x for all

x < 0

.

Q. Reflect the graph of

y = coth (x)

in the line y= x to obtain the graph of

y

{coth}^{- 1} (x)

Q. The two curve shown in the graph are

cosh (x)

{cosh}^{- 1} (x)

and are correctly labelled.

Q. Assertion :The nature of graph of the functions

f (x) = {sinh}^{2} (x)

g (x) = {cosh}^{2} (x)

is same. Reason: The two functions are related by the relation

1 + {sinh}^{2} (x) = {cosh}^{2} (x)

Q. The graph of inverse function can be obtained from the graph of its corresponding function by interchanging x and y axes.

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