[" 21."1+cot^(2)A],[" 22."(sec A+tan A)(1-sin A)=cos A]

(1 + sec A + tan A) (1-cos eA + cot A) = 2

(tan ^ (3) A) / (1 + tan ^ (2) A) + (cot ^ (3) A) / (1 + cot ^ (2) A) = sec A cos ecA-2sin A cos A

Show that (i) sin^(8)A-cos^(8)A=(sin^(2)A-cos^(2)A)(1-2sin^(2)A.cos^(2)A) (ii) (1)/(sec A-tan A)-(1)/(cos A)=(1)/(cos A)-(1)/(sec A + tan A)

Show that (i) sin^(8)A-cos^(8)A=(sin^(2)A-cos^(2)A)(1-2sin^(2)A.cos^(2)A) (ii) (1)/(sec A-tan A)-(1)/(cos A)=(1)/(cos A)-(1)/(sec A + tan A)

Prove that (1+sec A-tan A)/(1+sec A+tan A)=1-sin A/(cos A)

(sin A)/(sec A+tan A-1)+(cos A)/(cos ecA+cot A-1)=1

Prove the trigonometric identities: (1+cot A+tan A)(sin A-cos A)=(sec A)/(cos ec^(2)A)-(cos ecA)/(sec^(2)A)=sin A tan A-cot A cos A

Prove that (i) (sec 8A -1)/(sec 4A -1) =(tan 8A)/(tan 2A) (ii) (cos A+ sin A)/(cos A - sin A)-(cos A-sin A)/(cos A+sin A)=2 tan 2A

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

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