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CBSE Class 11-science Answered

Solve the inequation for x :
 
Sin^2 X > Cos^2 X
Asked by sudhanshubhushanroy | 19 Nov, 2017, 10:08: AM
answered-by-expert Expert Answer
begin mathsize 16px style sin squared straight x greater than cos squared straight x open parentheses sinx minus cosx close parentheses open parentheses sinx space plus cosx close parentheses greater than 0 so space Case space 1 colon open parentheses sinx minus cosx close parentheses greater than 0 space and space open parentheses sinx space plus cosx close parentheses greater than 0 Case space 2 space colon space open parentheses sinx minus cosx close parentheses less than 0 space and space open parentheses sinx space plus cosx close parentheses less than 0 in space case space 1 open parentheses sinx minus cosx close parentheses greater than 0 sinx greater than cosx sinx space greater than space sin open parentheses straight pi over 2 minus straight x close parentheses straight x greater than open parentheses straight pi over 2 minus straight x close parentheses straight x greater than straight pi over 4..... left parenthesis 1 right parenthesis open parentheses sinx plus cosx close parentheses greater than 0 sinx greater than negative cosx sinx space greater than space minus sin open parentheses straight pi over 2 minus straight x close parentheses straight x greater than open parentheses negative straight pi over 2 plus straight x close parentheses 0 greater than negative straight pi over 2.... true space for space all space straight x element of straight R.... left parenthesis 2 right parenthesis left parenthesis 1 right parenthesis space intersection space left parenthesis 2 right parenthesis.... space gives space straight x greater than straight pi over 4 similarly space solve space for space case space 2 end style
Answered by Arun | 01 Dec, 2017, 05:45: PM

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