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CBSE Class 12-science Answered

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Asked by jain.pradeep | 02 Nov, 2019, 08:16: PM
Expert Answer
triangle equals open vertical bar table row cell sin squared straight A end cell cell cot space straight A end cell 1 row cell sin squared straight B end cell cell cot space straight B end cell 1 row cell sin squared straight C end cell cell cot space straight C end cell 1 end table close vertical bar
Applying space straight R subscript 1 rightwards arrow straight R subscript 1 minus straight R subscript 3 comma space straight R subscript 2 rightwards arrow straight R subscript 2 minus straight R subscript 3
triangle equals open vertical bar table row cell sin squared straight A minus sin to the power of straight C end cell cell cot space straight A minus cot space straight C end cell 0 row cell sin squared straight B minus sin squared straight C end cell cell cot space straight B minus cot space straight C end cell 0 row cell sin squared straight C end cell cotC 1 end table close vertical bar
equals sin left parenthesis straight A minus straight C right parenthesis space sin left parenthesis straight B minus straight C right parenthesis space open vertical bar table row sinB cell fraction numerator 1 over denominator sinA space sinC end fraction end cell 0 row sinA cell fraction numerator 1 over denominator sinB space sinC end fraction end cell 0 row cell sin squared straight C end cell cotC 1 end table close vertical bar
equals sin left parenthesis straight A minus straight C right parenthesis space sin left parenthesis straight B minus straight C right parenthesis space open square brackets sinB space cross times space fraction numerator 1 over denominator sinB space sinC end fraction space minus space sinA space cross times space fraction numerator 1 over denominator sinA space sinC end fraction close square brackets
equals sin left parenthesis straight A minus straight C right parenthesis space sin left parenthesis straight B minus straight C right parenthesis space open square brackets 1 over sinC space minus space 1 over sinC close square brackets equals 0
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