`(1+sin A+cos A)^(2)=2(1+sin A)(1+cos A)`

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

(sin A + cos A)^2 = 1 + sin2A

Prove the following identities: (cos A)/(1-sin A)+(sin A)/(1-cos A)+1=(sin A cos A)/((1-sin A)(1-cos A))((1+cot A+tan A)(sin A-cos A)/(sec^(3)A-cos ec^(3)A)=sin^(2)A cos^(2)A

Prove that (sin A + 1-cos A) / (sin A-1 + cos A) = (1 + sin A) / (cos A)

Prove that (sin A + 1-cos A) / (sin A-1 + cos A) = (1 + sin A) / (cos A)

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

If (2sin A)/(1+sin A-cos A)=k, then (1+sin A-cos A)/(1+sin A) is

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

The range of the function f(x)=sin cos(ln((x^(2)+1)/(x^(2)+e))) is (1) [sin cos1,1) (2) [sin cos1, cos1) (3) [sin cos1, sin1) (4) (sin cos1, sin1]

Prove the following identities: (sin+cos A)/(sin A-cos A)+(sin-cos A)/(sin A+cos A)=(2)/(sin^(2)A-cos^(2)A)=(2)/(2sin^(2)A-1)=(2)/(1-2cos^(2)A)