The graph of an inverse trigonometric function passes through the point (1, pi/2). which of the following could be the equation of the function?
a) y=cos^-1 x
b) y=cot^-1 x
c) y=sin^-1 x
d) y=tan^-1 x

C)

Step-by-step explanation:

Since, the graph of an inverse trigonometric function will pass through the point ,

If this point satisfies the function,

For the function

If x = 1

Thus,   is not satisfying function  ,

⇒ The graph of   is not passing through the point  

For the function

If x = 1

Thus,   is not satisfying function ,

⇒ The graph of   is not passing through the point  

For the function

If x = 1

Thus,   is satisfying function ,

⇒ The graph of   is passing through the point  .

For the function

If x = 1

Thus,   is not satisfying function  ,

⇒ The graph of   is not passing through the point .

Hence, Option C is correct.

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).