If `s in^(-1)x" "=" "y` , then (A) `0lt=ylt=pi` (B) `-pi/2lt=ylt=pi/2` (C) `0

If s in^(-1)x=y, then (A)0<=y<=pi(B)-(pi)/(2)<=y<=(pi)/(2)(C)0

If theta is the angle between two vectors -> a and -> b , then -> adot -> bgeq0 only when (A) 0

What is the sign of cos( x/2) – sin(x/2) when (i) 0lt x lt pi/4 (ii) (pi)/(2)lt xlt pi

The function f(x) = sin ^(4)x+ cos ^(4)x increases, if (A) 0 lt x lt (pi)/(8) (B) (pi)/(4) lt x lt (3pi)/(8) (C) ( 3pi)/(8) lt x lt (5pi)/(8) (D) ( 5pi)/(8) lt x lt(3pi)/(4)

If sec x cos 5x+1=0 , where 0lt x lt 2pi , then x=

if cos x=(3)/(5) " and cos " y=(-24)/(25) " where " .(3pi)/(2) lt x lt 2 pi " and " pi lt y lt .(3pi)/(2) find the values of (i) " sin (x+y) "" ""(ii) cos (x-y) "" ""(iii) tan (x+y) "

If cosA=-sqrt(3)/2, sinB=-5/13 , where pi/2 lt A lt pi, (3pi)/(2) lt B lt 2pi , find the value of tan(A-B) .