x के सापेक्ष समाकलन कीजिए `:`
`(1)/( 2+ sin x + cos x ) `

(1 + sin 2x + cos 2x )/( cos x + sin x ) = 2 cos x

(1-cos 2x + sin x)/(sin 2x + cos x) = tan 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

1- (sin ^ (2) x) / (1 + cos x) + (1 + cos x) / (sin x) - (sin x) / (1-cos x) =

((1) / ((sec x) ^ (2) - (cos x) ^ (2)) + (1) / ((cos ecx) ^ (2) - (sin x) ^ (2))) ( cos x) ^ (2) (sin x) ^ (2) = (1- (cos x) ^ (2) (sin x) ^ (2)) / (2+ (cos x) ^ (2) (sin x) ^ (2))

Prove : int ( sin x - cos 2x)/(1 + sin x ) dx = - ( x+2 cos x ) + c

1- (sin ^ (2) x) / (1 + cot x) + (cos ^ (2) x) / (1 + tan x) = sin x cos x

1- (sin ^ (2) x) / (1 + cot x) - (cos ^ (2) x) / (1 + tan x) = sin x cos x

If sin x+cos x=1+sin x.cos x then x=

("sin x - cos x")^(2) =1- sin 2x