CBSE Class 11-science Answered

solve

Asked by Imotheph1504 | 19 Dec, 2022, 08:19: PM

Expert Answer

begin mathsize 14px style fraction numerator 1 space minus space i space sin alpha over denominator 1 space plus space 2 space i space sin alpha end fraction space equals space fraction numerator 1 space minus space i space sin alpha over denominator 1 space plus space 2 space i space sin alpha end fraction space cross times fraction numerator 1 space minus space 2 space i space sin alpha over denominator 1 space minus space 2 space i space sin alpha end fraction end style

begin mathsize 14px style R H S space equals space fraction numerator 1 space minus 3 space i space sin alpha space minus space 2 space sin squared alpha over denominator 1 space plus 4 space sin squared alpha end fraction space equals space fraction numerator 1 space space minus space 2 space sin squared alpha over denominator 1 space plus 4 space sin squared alpha end fraction space minus space i space fraction numerator 3 space sin alpha over denominator 1 space plus 4 space sin squared alpha end fraction end style

If RHS is only real , then imaginary part of RHS is zero .

Hence

begin mathsize 14px style alpha space equals space n pi end style

, where n = 0,1,2,3...... etc

Answered by Thiyagarajan K | 20 Dec, 2022, 03:36: PM

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