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Evaluate the inverse trigonometric function Sin^-1(-1). Give answers in both radians and degrees.


A) Sin^-1(-1) = -pi or -180°


B) Sin^-1(-1) = 3pi/2 or 270°


C) Sin^-1(-1) = pi or 180°


D) Sin^-1(-1) = -pi/2 or -90°

Sagot :

Answer:

B) Sin^-1(-1) = 3pi/2 or 270°

D) Sin^-1(-1) = -pi/2 or -90°

Step-by-step explanation:

Sine function:

The sine function is -1 at 270º(-90º), which is 3pi/2 = -pi/2.

Inverse sine:

The input of the inverse sine function is a value, and the output are the angles which have the sine equal to the input.

Sin^-1(-1)

Angles for which the sine are -1, that is 3pi/2 or 270° and -pi/2 or -90°. Thus, options B and D are correct.

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