" (vi) "(1)/(tan A)+(sin A)/(1+cos A)," uf "cosec A=2

Prove that : (1+ cos A)/(sinA) + (sin A)/(1+ cos A) = 2 "cosec " A

Prove that (sin A)/(1 + cos A) + (sin A)/(1 - cos A) = 2 cosec A.

If csc A=2, find the value of (1)/(tan A)+(sin A)/(1+cos A)

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

If cosec theta = sqrt2 , find the value of : (1)/(tan A ) +( sin A)/(1+ 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)

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

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

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

Prove the following identity : (1+ cot A+tan A) (sin A-cos A) =(secA)/(cosec^2 A)- (cosec A)/(sec^2A) .