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Question : 21 of 160
Marks:
+1,
-0
Solution:
Period of
3sin‌‌x is
‌=6 Period of
cos‌ is
‌=4 Period of
tan‌ is
‌=4 α= Period of
3sin‌‌x−cos‌x+tan‌x = LCM of
6,4,4=12 Period of
sin‌2(‌+‌) is
‌=4π Period of
sin‌2(‌−‌) is
‌=4π β= Period of
sin‌2(‌+‌)−sin‌2(‌−‌) = LCM of
4Ï€ and
4π=4π cos4x+sin‌4x=(cos2x+sin‌2x)2−2sin‌2xcos2x
=1−‌sin‌22x Period of
cos4x+sin‌4x= Period of
1−‌sin‌22x ∴‌‌γ‌=‌‌‌=‌=‌
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