[" 36.Prove that "(sin A+cos A)^(2)+(" cos "],[A+sec A)^(2)=7+tan^(2)A+cot^(2)A]

Prove that (sin A +cosec A) ^(2) +(cos A +sec A) ^(2) =7+ tan ^(2) A +cot ^(2) A

Prove that (sin A +cosec A) ^(2) +(cos A +sec A) ^(2) =7+ tan ^(2) A +cot ^(2) A

Prove that (sin A +cosec A) ^(2) +(cos A +sec A) ^(2) =7+ tan ^(2) A +cot ^(2) A

Prove that (sin A +cosec A) ^(2) +(cos A +sec A) ^(2) =7+ tan ^(2) A +cot ^(2) A

(sin A+cosec A)^(2)+(cos A+sec A)^(2)=7+tan^(2)A+cot^(2)A

Prove that ( sin A+ cosec A)^2+(cos A+sec A)^2=7+tan^2 A+ cot^2 A .

Prove the following identity,where the angles involved are acute angles for which the expressions are defined.(viii) (sin A+cos ecA)^(2)+(cos A+sec A)^(2)=7+tan^(2)A+cot^(2)A

( sin A + cosec A ) ^ 2 + ( cos A + sec A) ^ 2 = 7 + tan ^ 2 A + cot ^ 2 A

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