" aifore "(sin A+cos A)(sec A+cosec A)=2+sec A cos

Prove that : (sin A + cos A) (sec A + cosec A) = 2 + sec A cosec A

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

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

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

Prove that : (cosec A-sin A ) (sec A-cos A)=sinA cosA

Prove that : (cosec A - sin A) (sec A - cos A) sec^(2) A = tan 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)

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

What is the value of (cosec A - sin A) (sec A - cos A) (tan A + cot A) ?