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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: period
Forum Index -> Trignometry like the article? email it to a friend.  
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[Post New]7 Apr 2008 18:13:50 IST
    Subject: period
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v_gurucharan (278)

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is this statement correct, and why???
 
2(sec ^2 (x) -1)  +2 (cosec ^2(x) -1) is periodic with fundamental period  . 
 
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note----         the statement is WRONG
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[Post New]7 Apr 2008 18:22:08 IST
    Subject: Re:period
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elastiboysai (2327)

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The function can be written as
2^|tanx|+2^|cotx|
Now
replace x by pi/2 +x
2^|-cotx|+2^|-tanx|=2^|tanx|+2^|cotx|=f(x)
u get
 f(pi/2+x)=f(x)
so the function has period pi/2
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[Post New]7 Apr 2008 18:28:52 IST
    Subject: Re:period
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sboosy (2970)

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2^{|\tan(x)|}+2^{|\cot(x)|} \\ \\ \mbox{Period is} \ \frac{\pi}{2} \\ \\ \mbox{because} \ 2^{|\tan(x+\frac{\pi}{2})|}+2^{|\cot(x+\frac{\pi}{2})|} \\ \\ = 2^{|\tan(x)|}+2^{|\cot(x)|}
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