[" (ii) "(1+ca+1-cos A)/(sec A)=csc A+cot A" using the identity "csc^(2)A],[(cos A-sin A+1],[cos A+sin A-1]

(cos A-sin A+1)/(cos A+sin A-1)=cosec A+cot A," using the identity cosec^(2)A=1+cot

( cos A - sin A + 1 ) / ( cos A + sin A - 1 ) = cosec A + cot A cosec A + cot A , = using the identity cosec ^ 2 A = 1 + cot^ 2 A .

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

7. (sin A+cos A)(cot A+tan A)=sec A+cosec A

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

(1+tan A)/(sin A)+(1+cot A)/(cos A)=2(sec A+cosec A)

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)

sin A (1 + tan A) + cos A (1 + cot A) = sec A + cosec A .

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

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