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Solve trigonometric equation:

sin x + cos x = 1/(2)^1/2

Asked by hariom2083 5th July 2018, 11:52 AM
Answered by Expert
Answer:
begin mathsize 16px style sin space straight x space plus space cos space straight x space equals space fraction numerator 1 over denominator square root of 2 end fraction
1 right parenthesis space use comma space sin space left parenthesis straight x right parenthesis equals cos space open parentheses straight pi over 2 minus straight x close parentheses
2 right parenthesis space use comma space cos space straight A space plus space cos space straight B thin space equals space 2 space cos space open parentheses fraction numerator straight A plus straight B over denominator 2 end fraction close parentheses cross times cos space open parentheses fraction numerator straight A minus straight B over denominator 2 end fraction close parentheses
3 right parenthesis space cos space straight pi over 4 equals fraction numerator 1 over denominator square root of 2 end fraction
4 right parenthesis space use space general space solution space for space cos space straight x space equals space cos space straight alpha end style
Answered by Expert 5th July 2018, 1:22 PM
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