(1)/(Lambda)-(1)/(sin A)=(1)/(sin A)-(1)/(cosec A+cot A)

Prove that : (1)/(cosec A - cot A) - (1)/(sin A) = (1)/(sin A) - (1)/(cosec A + cot A)

(1)/(csc theta-cot theta)-(1)/(sin theta)=(1)/(sin theta)-(1)/(csc theta+cot theta)

(1)/(cosec A-cot A)+(1)/(cosec A+cot A)=?

Prove that (1)/("cosec"alpha-cot alpha)-(1)/(sin alpha)=(1)/(sin alpha)-(1)/("cosec"alpha+cotalpha) .

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

Prove the following identity : 1/(cosec theta- cot theta)-1/(sin theta) =1/(sin theta)- 1/(cosec theta+cot theta) .

simplify (1)/(cosec A-cot A)+(1)/(cosec A+cot 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)

Prove the following identities, 0^(@) le theta le 90^(@) . (v) (cos A - sin A +1)/(cos A + sin A -1) = cosec A + cot A

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