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General solution for |sinx|=cosx is.... PLEASE ANSWER ASAP!!thanks!

General solution for |sinx|=cosx is....
PLEASE ANSWER ASAP!!thanks!

Grade:11

3 Answers

Arun
25763 Points
2 years ago
Dear Shreya
 
when sinx >0
 
sin x =  cos x
 
tanx =1
 
x = n* pi + pi/4
 
similarly do this for sinx
 
Regards
Arun
Shreya
12 Points
2 years ago
Thanks for answering bt I also did it the same way as you did bt the correct answer is 2nπ + π/4 (where n belongs to Integers)...
PLEASE EXPLAIN HOW?
Abhay
13 Points
2 years ago
As mod us present we have to remove it hence squaring both sides,
Sin2x=cos2x
tan2x = 1
x = npi + pi/4 or npi - pi/4

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