Question

sin^-1x+sin^-1 1/x+cos^-1x+cos^-1 1/x is equal to.
A). pi
B). pi/2
C). 3 pi/2
D). 0​

Answer 1

Answer:

sin−1x+sin−1(1−x)=cos−1x

⇒sin−1x+sin−1(1−x)=2π−sin−1x

⇒sin−1(1−x)=2π−2sin−1x      ...... (i)

Let sin−1x=y

⇒x=siny

Therefore, from (i), we get

sin−1(1−x)=2π−2y

⇒1−x=sin(2π−2y)

⇒1−x=cos2y

⇒1−x=1−2sin2y

⇒1−x=1−2x2

⇒2x2−x=0

⇒x(2x−1)=0

⇒x=0,21

Answer 2

Answer:

A) pi

Step-by-step explanation: