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

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

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

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

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

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

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

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

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

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