Question

In: Advanced Math

For the following exercises, match each trigonometric function with one of the graphs in Figure 18. f(x) = tan x

For the following exercises, match each trigonometric function with one of the graphs in Figure 18.

f(x) = tan x

Expert Solution

Consider the following trigonometric function:

f(x) = tanx

To acknowledge the graph among the provided graphs in textbook, first sketch the graph of above function,

Put x = π/3 in the above function,

f(-π/3) = tan(-π/3)

= -tan(π/3)

= -√3

= -1.732

Put x = π/4 in the above function,

f(-π/4) = tan(-π/4)

= -tan(π/4)

= -1

Put x = 0 in the above function,

f(0) = tan(0)

= 0

Put x = π/6 in the above function,

f(π/6) = tan(π/6)

= 1/√3

= 0.5774

Put x = π/4 in the above function,

f(π/4) = tan(π/4)

= 1

Put x = π/3 in the above function,

f(π/3) = tan(π/3)

= √3

= 1.732

Now draw the table for the above values of function,

x	-π/3	-π/4	0	π/6	π/4	π/3
f(x)	-√3	-1	0	1/√3	1	√3

Now plot the graph with the table,

Hence it is cleared that the graph I provided in the textbook is the graph of the function

f(x) = tanx.

Hence it is cleared that the graph I provided in the textbook is the graph of the function

f(x) = tanx.

Junaid answered 1 year ago

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