" 3) "(cot A+cosec A-1)/(cot A-cosec A+1)=(1+cos A)/(sin A)

Prove the following identities : (cot A + cosec A - 1)/ (cot A - cosec A + 1) = (1 + cos A)/ (sin A)

Prove that , (Cot A-cos A)/(cot A+cos A)=(cosec A-1)/(cosec A+1)

Prove the following : (cot A - cos A)/(cot A + cos A) = (cosec A -1)/(cosec A + 1) .

Prove that (i) (tan A+ sin A)/(tan A- sin A)= (sec A+1)/(sec A-1) (ii) (cot A- cos A)/(cot A+ cos A)= ("cosec" A-1)/("cosec" A+1)

Show that (cot A - cos A)/(cot A + cos A) = ( cosec A - 1)/(1 + cosec A)

Prove that (cot A - cos A)/(cot A + cos A) = (cosec A -1)/(cosecA+1) .

(cot^(2)A)/((cosec A+1)^(2))=(1-sin A)/(1+sin A)

What is (cot A - "cosec"A -1)/(cot A -"cosec"A +1) equal to?

Prove that : (sin A - cos A) (1 + tan A + cot A) = (sec A)/ (cosec^(2) A) - (cosec A)/ (sec^(2) A)