Review the graph.

Which function is represented in the graph?

y = tanx
y = cosx
y = tan-1x
y = cos-1x

Answer:

D)

Step-by-step explanation:

I used a graphing calculator and typed in every equation and D matched the graph.

The graph given in the figure represents cos^-1(x). The correct option is (D).

The trigonometric ratios are defined for a right angled triangle.

The example of these ratios are sin, cos, tan, cosec, sec and cot.

The trigonometric ratios are useful in determining the heights and distances of the large objects.

The graph for the given question shows that for the given function the range and domain are as follows,

Domain =  [-1, 1]

Range = [0, π]

The value of the function at 0 is π/2.

Since only the inverse of sinusoids have their range as [-1, 1] and the value of cos(x) at x = π/2 is 0. It implies that the given function is inverse of cos(x).

Hence, the given function represents inverse function of cos(x) which is cos^-1(x).

To know more about trigonometric ratio click on,

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