If `2sec^2A-sec^4A-2cos e c^2A+cos e c^4A=(15)/4,t h e n` tan A is equal `1//sqrt(2)` (b) `1/2` (c) `1/2sqrt(2)` (d) `-1/(sqrt(2))`

If 2sec^2A-sec^4A-2cos e c^2A+cos e c^4A=(15)/4,then tan A is equal

If alphaa n dbeta are acute angles satisfying cos2alpha=(3cos2beta-1)/(3-cos2beta),t h e ntanalpha= sqrt(2)tanbeta (b) 1/(sqrt(2))t a nbeta (c) sqrt(2)cotbeta (d) 1/(sqrt(2))cotbeta

d/(dx)(cos^(-1)sqrt(cosx)) is equal to (a) 1/2sqrt(1+s e cx) (b) sqrt(1+secx) (c) -1/2sqrt(1+secx) (d) -sqrt(1+secx)

d/(dx)(cos^(-1)sqrt(cosx)) is equal to (a) 1/2sqrt(1+s e cx) (b) sqrt(1+secx) (c) -1/2sqrt(1+secx) (d) -sqrt(1+secx)

d/(dx)(cos^(-1)sqrt(cosx)) is equal to (a) 1/2sqrt(1+s e cx) (b) sqrt(1+secx) (c) -1/2sqrt(1+secx) (d) -sqrt(1+secx)

int (dx)/(sqrt(2e^(x)-1))=2 sec^(-1)(sqrt(2)e^((x)/(2)))+c

sec^2(tan^(-1)2)+cos e c^2(cot^(-1)3) is equal to (a)5 (b) 13 (c) 15 (d) 6

cos^(-1)("cos"(2cot^(-1)(sqrt(2)-1))) is equal to sqrt(2)-1 (b) pi/4 (c) (3pi)/4 (d) non eoft h e s e

sin( 67 1/2)^(@) + cos( 67 1/2)^(@) is equal to A) 1/2sqrt(4+2sqrt(2)) , B) 1/2sqrt(4-2sqrt(2)) , C) 1/4(sqrt(4+2sqrt(2))) , D) 1/4(sqrt(4-2sqrt(2)))

sin(67 1/2)^(@) + cos( 67 1/2)^(@) is equal to A) 1/2sqrt(4+2sqrt(2)) , B) 1/2sqrt(4-2sqrt(2)) , C) 1/4(sqrt(4+2sqrt(2))) , D) 1/4(sqrt(4-2sqrt(2)))