" (1) "quad (1+cot A-cosec A)(1+tan A+sec A)=2

Prove the following identities : (1 + cot A - cosec A) ( 1 + tan A +sec A) = 2

(1+tan A+sec A)(1+cot A-cosec A)=

(1+cot A-csc A)(1+tan A+sec A)" is equal to "

Prove that : (tan A)/ (1 - cot A) + (cot A)/ (1 - tan A) = sec A 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)

Prove that (sec A-cosec A)(1+tan A+cot A)=tan A secA + cotA cosec A

Prove that (1+tan A+sec A)(1+cot A-" cosec A")=2

Prove that : cos A (1 + cot A) + sin A (1 + tan A) = sec A + cosec A

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