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

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

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

Prove that ( sin 2 A )/( 1 - cos 2 A) = cot A

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

Prove that : (1 + cot A + tan A) (sin A — cos A) = sin A tan A — cot A cos A.

Prove that : (1 + cot A + tan A) (sin A — cos A) = sin A tan A — cot A cos A.

prove that (sin2A)/(1-cos2A)=cotA

Prove that : (1+sin 2A)/(cos 2A) = (cos A + sin A)/(cos A - sin A) = tan (pi/4 + A)

Prove that (1 - cos 2 theta)/( sin 2 theta) = tan theta.

Prove that: (sin2A)/(1+cos2A)=tanA