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Prove that ,(1+sec 2 theta) (1+sec2^(2) ...

Prove that ,`(1+sec 2 theta) (1+sec2^(2) theta)(1+ sec2^(3)theta)... ( 1+sec 2^(2) theta) = (tan 2^(n) theta)/tan theta`

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The correct Answer is:
`(tan 2^(n) theta)/(tan theta)`
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