(5)quad " पला "(4e^(sin^(-1))x+(pi)/(2))" का फब्ता "(5^(sin^(-1))x+(pi)/(4))" के "

(f) Find the differential coefficient of the function (4e^(sin^(-1)x)+(pi)/(2)) w.r.t the function (5e^(sin^(-1)x)+(pi)/(4))

sin ^ (- 1) ((5) / (x)) + sin ^ (- 1) ((12) / (x)) = (pi) / (2)

sin ^ (- 1) ((5) / (x)) + sin ^ (- 1) ((12) / (x)) = (pi) / (2)

Find the value of (I ) sin^(-1) ( sin ((2pi )/(3)) ) (ii ) sin^(-1) (sin ((5 pi )/(4)))

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 f(x)=(1-sin^(2)x)/(1+sin^(2)x)," then "3f'((pi)/(4))-f((pi)/(4))=

int e^(x//2) sin ((pi)/(4)+ (pi)/(2) ) dx =

int_ (0) ^ ((pi) / (2)) (1) / (1 + e ^ (sqrt (2) sin (x- (pi) / (4)))) dx =

lim_ (x rarr (pi ^ (+)) / (4)) [cos (x- (pi) / (4))] ^ ((1) / (sin (x- (pi) / (4))) )