CBSE Class 11-science Answered

Sin(x)/√2+cos(x)/√2=√3/2

Asked by 069.pks | 16 Sep, 2023, 10:06: AM

Expert Answer

begin mathsize 14px style sin left parenthesis x right parenthesis space fraction numerator 1 over denominator square root of 2 end fraction space plus space cos left parenthesis x right parenthesis fraction numerator 1 over denominator square root of 2 end fraction space equals space fraction numerator square root of 3 over denominator 2 end fraction end style

begin mathsize 14px style sin left parenthesis x right parenthesis space cos left parenthesis straight pi over 4 space right parenthesis plus space cos left parenthesis x right parenthesis cos left parenthesis straight pi over 4 right parenthesis space equals space sin left parenthesis 2 n straight pi plus straight pi over 3 right parenthesis end style

where n = 0 , 1 , 2 ..... etc

begin mathsize 14px style sin space left parenthesis space x space plus space straight pi over 4 right parenthesis space equals space sin left parenthesis 2 n straight pi plus straight pi over 3 right parenthesis end style

begin mathsize 14px style x plus space pi over 4 space equals space 2 n straight pi plus space straight pi over 3 end style

begin mathsize 14px style x space equals space 2 space n space straight pi space plus space open parentheses straight pi over 3 minus straight pi over 4 close parentheses space equals space 2 space straight n space straight pi space plus space straight pi over 12 end style

Answered by Thiyagarajan K | 19 Sep, 2023, 07:58: PM

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