" 1."x sin x

Prove that (1 + sin x-cos x) / (1 + sin x + cos x) + (1 + sin x + cos x) / (1 + sin x-cos x) = 2cos ecx

The maximum value of cos x ((cos x )/( 1- sin x) + (1- sin x)/( cos x) ) is

Solve: (cos x)/(1 - sin x) + (1 - sin x)/(cos x) =

( cos x )/( 1 + sin x ) + ( 1 + sin x)/( cos x) is equal to:

Tan ^(-1) (sqrt ((1 - sin x )/( 1 + sin x )))

underset( x rarr 0 ) ( "lim")((1+sin x )/( 1- sin x ))^("cosec x ") is equal to :

(cos x)/(1-sin x)=(1+cos x+sin x)/(1+cos x-sin x)

if a=(1+sin x)/(1-cos x+sin x) then (1+cos x+sin x)/(2sin x) is

int(1-sin x)/(sin x(1+sin x))dx

Let Delta=det[[1,sin x,1-sin x,1,sin x-1,-sin x,1]] If [Delta]=2 where [.] denotes G.I.F., then x lies in