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Home / Doubts and Solutions/KERALA/Class 11 Science/Mathematics

Solve Sin2x-Sin4x+Sin6x=0.
 

Asked by Deebu 3rd February 2015, 3:52 PM
Answered by Expert
Answer:
begin mathsize 16px style Consider space the space given space equation colon space sin 2 straight x minus sin 4 straight x plus sin 6 straight x equals 0 rightwards double arrow sin 6 straight x plus sin 2 straight x minus sin 4 straight x equals 0 rightwards double arrow 2 sin fraction numerator 6 straight x plus 2 straight x over denominator 2 end fraction cross times cos fraction numerator 6 straight x minus 2 straight x over denominator 2 end fraction minus sin 4 straight x equals 0 rightwards double arrow 2 sin fraction numerator 8 straight x over denominator 2 end fraction cross times cos fraction numerator 4 straight x over denominator 2 end fraction minus sin 4 straight x equals 0 rightwards double arrow 2 sin 4 straight x cross times cos 2 straight x minus sin 4 straight x equals 0 rightwards double arrow sin 4 straight x open parentheses 2 cos 2 straight x minus 1 close parentheses equals 0 rightwards double arrow sin 4 straight x equals 0 space or space 2 cos 2 straight x minus 1 equals 0 rightwards double arrow 4 straight x equals nπ space or space 2 cos 2 straight x equals 1 rightwards double arrow straight x equals nπ over 4 space or space cos 2 straight x equals 1 half rightwards double arrow straight x equals nπ over 4 space or space 2 straight x equals 2 nπ plus-or-minus straight pi over 3 rightwards double arrow straight x equals nπ over 4 space or space straight x equals nπ plus-or-minus straight pi over 6 end style
Answered by Expert 7th December 2017, 10:17 AM
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