" 16."(pi)/(4/4)sin^(-1)(1-x)-2sin^(-1)x=(pi)/(2),pi x" an "417" atloet "(1)/(8)" : "

Solve sin^(-1)x +sin^(-1)(1-x) =(pi)/(2) .

Prove that (i) cos (n + 2) x cos (n+1) x +sin (n+2) x sin (n+1) x = cos x) (ii) " cos " .((pi)/(4)-x) " cos " .((pi)/(4)-y) " - sin " ((pi)/(4)-x ) " sin " ((pi)/(4) -y) =" sin " (x+y)

If tan^(-1)(x^(2)+3|x|-4)+cot^(-1)(4 pi+sin^(-1)sin14)=(pi)/(2), then the value of sin^(-1)sin2x is (a)6-2 pi( b) 2 pi-6( c) pi-3 (d) 3-pi

If tan^(-1)(x^(2)+3|x|-4)+cot^(-1)(4pi+sin^(-1)sin14)=(pi)/(2) , then the value of sin^(-1)(sin2x) can be equal to

If 0

The value of sin^(-1)(cos(cos^(-1)(cos x)+sin^(-1)(sin x))) where x in((pi)/(2),pi), is equal to (pi)/(2)(b)-pi(c)pi (d) -(pi)/(2)

[" If "sin x sin(60^(@)+x)sin(60^(@)-x)=(1)/(8)" then "],[x" equals "],[n pi+(-1)^(n)(pi)/(6)],[n(pi)/(3)+(-1)^(n)(pi)/(18)],[n pi+(-1)^(n)(pi)/(3)],[(n pi)/(-1)+(-1)^(n)(pi)/(4)]