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Asked by Vedikapatil3104 | 02 Sep, 2019, 19:22: PM
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Please check your question:
The question must ask for the value of lambda and not 1
cos A equals m cos B rightwards double arrow m equals fraction numerator cos A over denominator cos B end fraction C o n s i d e r comma space fraction numerator m over denominator m minus 1 end fraction equals fraction numerator cos A over denominator cos A minus cos B end fraction not equal to lambda S i m i l a r l y comma space fraction numerator m plus 1 over denominator m end fraction not equal to lambda space a n d space fraction numerator m over denominator m plus 1 end fraction not equal to lambda N o w comma space c o n s i d e r fraction numerator m plus 1 over denominator m minus 1 end fraction equals fraction numerator cos A plus cos B over denominator cos A minus cos B end fraction equals fraction numerator 2 cos open parentheses begin display style fraction numerator A plus B over denominator 2 end fraction end style close parentheses cos open parentheses begin display style fraction numerator A minus B over denominator 2 end fraction end style close parentheses over denominator negative 2 sin open parentheses begin display style fraction numerator A plus B over denominator 2 end fraction end style close parentheses sin open parentheses begin display style fraction numerator A minus B over denominator 2 end fraction end style close parentheses end fraction equals fraction numerator negative c o t open parentheses begin display style fraction numerator A plus B over denominator 2 end fraction end style close parentheses over denominator tan open parentheses begin display style fraction numerator A minus B over denominator 2 end fraction end style close parentheses end fraction equals fraction numerator negative lambda tan open parentheses begin display style fraction numerator B minus A over denominator 2 end fraction end style close parentheses over denominator negative tan open parentheses begin display style fraction numerator B minus A over denominator 2 end fraction end style close parentheses end fraction equals lambda H e n c e comma space fraction numerator m plus 1 over denominator m minus 1 end fraction equals lambda
Answered by Renu Varma | 03 Sep, 2019, 11:12: AM

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