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[" 68."(cosec theta-sec theta)(cot theta...

[" 68."(cosec theta-sec theta)(cot theta-tan theta)=(cosec v)],[" 69."(sec A-cosec A)(1+tan A+cot A)=tan A sec A-cot A cosec A]

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

(sec theta+csc theta)^(2)-(tan theta+cot theta)^(2)=

tan theta/(1-cot theta)+cot theta/(1-tan theta)=1+sec theta cosec theta

tan theta/(1-cot theta)+cot theta/(1-tan theta)=1+sec theta cosec theta

tan theta/(1-cot theta)+cot theta/(1-tan theta)=1+sec theta cosec theta

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x=sec theta-tan theta, y=cosec theta+cot theta, then

(1+tan theta+sec theta)(1+cot theta- cosec theta) is equal to

prove that: (tan theta)/(1-cot theta)+(cot theta)/(1-tan theta)=1+sec theta cosec theta