(cosec A)/(cot A+tan A)=cos A

What is the simplified value of ((cosec A)/(cot A + tan A )) ^(2) ?

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

Prove that , (Cot A-cos A)/(cot A+cos A)=(cosec A-1)/(cosec A+1)

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

Prove that (cot A - cos A)/(cot A + cos A) = (cosec A -1)/(cosecA+1) .

cosec A- 2cot 2A cos 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 that : (sec A - cosec A ) (1 + tan A + cot A)= tan A sec A-cot A cosec A .

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