What is the inverse of the trigonometric function in the graph? y = sinx y = cosx y = arcsinx y = arccosx

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galactiicdoom2 galactiicdoom2 · Answer 1 · 2021-04-12T23:07:14+02:00

Answer:

D. y = arccosx

Step-by-step explanation:

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AFOKE88 AFOKE88 · Answer 2 · 2021-10-15T14:12:53+02:00

The inverse of the trigonometric function given in the graph is;

Option D; y = arc cosx

The graph is missing and so i have attached it.

To get the inverse of the trigonometric function, we need to first know what the trigonometric function is.

when x = 0, y = 1

when x = π, y = -1

when x = π/2, y = 0

Now, the equivalent of radian angle π when converted to degrees is; π = 180°

Thus; π/2 rad = 90°

Thus;

when x = 0°, y = 1

when x = 180°, y = -1

when x = 90°, y = 0

Now, let us look at the value of angle 0° for each trigonometric function sin, cos and tan.

sin 0 = 0

tan 0 = 0

cos 0 = 1

Let us try angle 90°

sin 90 = 1

cos 90 = 0

tan 90 = ∞

The only trigonometric function that corresponds with the coordinates of the graph is y = cos x.

The inverse of cos x is cos⁻¹x or arc cos x.

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