Question

sin^-1 x - cos^-1 x = pi/6

Answer 1

 We have,sin-1x-cos-1x=π6
⇒sin-1x+cos-1x-2cos-1x=π6
⇒π2-2cos-1x=π6
⇒2cos-1x=π2-π6
⇒2cos-1x=3π-π6
⇒2cos-1x=2π6
⇒cos-1x=π6
⇒x=cosπ6=  Under root 3/2