[2" ) "y,=tan x+sec x," ter "p*t],[y_(2),=(cos x)/((1-sin x)^(2))]

If y=tan x+sec x, prove that (d^(2)y)/(dx^(2))=(cos x)/((1-sin x)^(2))

If y=tan X+sec x, prove that (d^(2)y)/(dx^(2))=(cos x)/((1-sin x)^(2))

if y = tan x + sec x, prove that (d ^ (2) y) / (dx ^ (2)) = (cos x) / ((1-sin x) ^ (2))

Find y ', if : (a) y=3 cos x + 2 sin x, (b) y=(sin x+cos x)/(sin x -cos x) (c ) y=(x^(2)+1) arc tan x, (d) y=x^(3) arc sin x

If y= sin (sin x) then y _(2) + (tan x) y _(1) + y (cos ^(2) x)=

If (tan x) / (tan y) = (1 + cos ^ (2) x) / (1 + sin ^ (2) x), show that sin (3x + y) = 7sin (xy)

If (tan x) / (tan y) = (1 + cos ^ (2) x) / (1 + sin ^ (2) x), show that sin (3x + y) = 7sin (xy)

If y = Tan ^(-1) ((cos x- sin x)/(cos x + sin x)) then (d ^(2) y)/(dx ^(2))=

If ((sin x)^(2y))/((cos x)^((2)/(2)))+((cos x)^(2y))/((sin x)^((2)/(2)))=sin2x for 0

Show that (i) cos x+cos y=2 cos (x+y)/(2) cos (x-y)/(2) (ii) cos x-cos y=-2 sin (x+y)/(2) sin (x-y)/(2) (iii) sin x+sin y=2 sin (dot(x)+y)/(2) cos (x-y)/(2) (iv) sin x-sin y=2 cos (x+y)/(2) sin (x-y)/(2)