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[" 6."tan A+cot A=sqrt(sec^(2)A+csc^(2)A...

[" 6."tan A+cot A=sqrt(sec^(2)A+csc^(2)A)],[" 7."sin A(1+tan A)+cos A(1+cot A)=sec A+csc A]

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

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

(tan A+cot A)=(sec A*csc A)

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

(1+tan A+sec A)(1+cot A-cosec A)=

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

Prove that : sqrt (sec^(2) A + cosec^(2) A) = tan A + cot A

" (i) "(1+sec A+tan A)(1-cosec A+cot A)=2

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

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