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CBSE Class 11-science Answered

What is the logic behind taking LCM and What will happen to answer if we change H.C.F insted of L.C.M?
Asked by Vineeth K | 12 Apr, 2016, 01:55: PM
answered-by-expert Expert Answer
open vertical bar sin 2 straight x close vertical bar space is space periodic space function space of space straight pi over 2.
That space means space in space the space periodic space interval space of space straight pi over 2 space the space value space of space open vertical bar sin 2 straight x close vertical bar space occours.

open vertical bar cos 8 straight x close vertical bar space is space periodic space function space of space straight pi over 8.
That space means space in space the space periodic space interval space of space straight pi over 8 space the space value space of space open vertical bar cos 8 straight x close vertical bar space occours.

We space need space to space find space the space period space of space the space function space open vertical bar sin 2 straight x close vertical bar space plus space open vertical bar cos 8 straight x close vertical bar.
That space means space we space need space to space find space the space period space space in space which space the space value space of space sum space of space both space the space function space open vertical bar sin 2 straight x close vertical bar space and space open vertical bar cos 8 straight x close vertical bar occours.
That space the space reason space LCM space of space straight pi over 2 space and space straight pi over 8 space is space taken.
space

HCF open parentheses straight pi over 2 comma straight pi over 8 close parentheses equals straight pi over 8
So space in space this space periodic space interval space of space straight pi over 8 space the space value space of space open vertical bar sin 2 straight x close vertical bar space will space not space occour space in space all space intervals.
Hence space we space cannot space take space HCF.
Answered by Vijaykumar Wani | 13 Apr, 2016, 04:02: PM
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F I N D space T H E space V A L U E space O F space cos left parenthesis negative fraction numerator 5 straight pi over denominator 12 end fraction right parenthesis
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