3
Q
Draw the graphs of sin-1(sinx) and sin(sin-1x) from [-∩,∩]
Is there a difference between these two functions
ELABORATE
PS: This is a very important question for all the aspirants .
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3 Answers
106frm -pi/2 to pi/2 both the graphs are the same
but for second graph sin-1(sinx) if u take x outside of the interval -pi/2 to pi/2
then u cant write sin-1(sinx) say sin-1(sin3Ï€/2) as 3Ï€/2 as the range of sin inverse is from -pi/2 to pi/2.
So u need to convert the x to a value between -pi/2 to pi/2.
hence the required graph.