i) यदि cos A+ cos cos A+ cos2 A=12 at sin? A=1 at sin? A+ sin" A=1

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

If A = 30^(@) , show that : (i) (1 + sin 2A + cos 2A)/(sin A + cos A) = 2 cos A (ii) (cos^(3)A - cos 3A)/(cos A) + (sin^(3)A + sin 3A)/(sin A) = 3

(sin A) / (1-cos A) - (1-cos A) / (sin A) =

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

Prove that (1 + sin A) / (cos A) + (cos B) / (1-sin B) = (2sin A-2sin B) / (sin (AB) + cos A-cos B)

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

(cos3A+sin3A)/(cos A-sin A)=1+2sin2A

(sin A) / (1 + cos A) + (1 + cos A) / (sin A) = 2cos ecA