[" 7.(i) "(1+cot A-cosec A)(1+tan A+sec A)=],[[" (A) "1," (D) "0]]

(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 "

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

(tan A+cot A)=(sec A*csc A)

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

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

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