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[" 39.निम्नलिखित सर्वसमिकाएँ सिद्ध कीजिए...

[" 39.निम्नलिखित सर्वसमिकाएँ सिद्ध कीजिए : "],[(sin A+cosec A)^(2)+(cos A+sec A)^(2)=7+tan^(2)A+cot^(2)A.]

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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

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

(cot^(2)A*sec A)/(cos^(2)A*sin^(2)A)=sec A*cosec^(4)A

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

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

(1 + cot A — cosec A) (1 + tan A + sec A) = 2 .