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Forum Index -> Trignometry like the article? email it to a friend.  
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suhusumu (0)

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Simplify:- tan A/2(1+ secA)(1+ sec 2A)(1 + sec 4A)...(1 + sec 2nA)
    
vivsarda (151)

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jst use secA = 1/ cosA
then apply 1 +cosA= 2 cos square A/2
then multiply n divide wid 2 power n
also divide n multiply wid sin square A / 2 n sin A
then u ll get the answer if u want a detailed solution nudge me then
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nadeemoidu (1184)

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tan A/2(1+ secA)(1+ sec 2A)(1 + sec 4A)...(1 + sec 2nA)

=(sinA/2 / cos A/2) ( cosA+1   / cos A)
(1+ sec 2A)(1 + sec 4A)...(1 + sec 2nA)

=
(sinA/2 / cos A/2) ( 2 cos2A/2   / cos A) (1+ sec 2A)(1 + sec 4A)...(1 + sec 2nA)

= (( 2sinA/2cosA/2 ) / cos A   )
(1+ sec 2A)(1 + sec 4A)...(1 + sec 2nA)

= tan A
(1+ sec 2A)(1 + sec 4A)...(1 + sec 2nA)

...
...
...
...
=tan 2nA
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iitkgp_bipin (5804)

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Good work nadeemoidu.

Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur

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karthik_18049200 (47)

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im also ve got it.
if u want it i can explain u.
please rate me also
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