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Evaluate: (sec^(2)(90^(@) - theta)-cot^(...

Evaluate: `(sec^(2)(90^(@) - theta)-cot^(2) theta)/(2 (sin^(2) 25^(@)+sin^(2) 65^(@)))+(2 sin^(2)30^(@)tan^(2) 32^(@) tan^(2)58^(@))/(3(sec^(2)33^(@)-cot^(2)57^(@)))`.

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The correct Answer is:
`2/3`
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The value of cot^(2)theta-(1)/(sin^(2)theta) is:

(1+cos 2 theta)/(sin 2 theta)=cot theta

(sin 2 theta)/(1-cos 2 theta)=cot theta

sec ^(2)(tan ^(-1) 2)+cosec^(2)(cot ^(-1) 3)=

sec ^(2)(tan ^(-1) 2)+cosec^(2)(cot ^(-1) 3)=