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CBSE Class 11-science Answered

Pls solve.
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Asked by pb_ckt | 23 May, 2019, 03:44: PM
answered-by-expert Expert Answer
a space tan x plus b space s e c x equals c rightwards double arrow b space s e c x equals c minus a space tan x rightwards double arrow b squared space s e c squared x equals open parentheses c minus a space tan x close parentheses squared rightwards double arrow b squared space left parenthesis 1 plus tan squared x right parenthesis equals c squared plus a squared space tan squared x minus 2 a c space tan x rightwards double arrow open parentheses b squared minus a squared close parentheses space tan squared x plus 2 a c space tan x plus b squared minus c squared equals 0 S i n c e comma space alpha space a n d space beta space a r e space t h e space r o o t s space o f space a b o v e space e q u a t i o n rightwards double arrow tan alpha plus tan beta equals fraction numerator negative 2 a c over denominator open parentheses b squared minus a squared close parentheses end fraction space a n d space space space tan alpha space tan beta equals fraction numerator b squared minus c squared over denominator open parentheses b squared minus a squared close parentheses end fraction N o w comma space tan left parenthesis alpha plus beta right parenthesis equals fraction numerator tan alpha plus tan beta over denominator 1 minus tan alpha space tan beta end fraction rightwards double arrow space tan left parenthesis alpha plus beta right parenthesis equals fraction numerator fraction numerator negative 2 a c over denominator open parentheses b squared minus a squared close parentheses end fraction over denominator 1 minus fraction numerator b squared minus c squared over denominator open parentheses b squared minus a squared close parentheses end fraction end fraction equals fraction numerator negative 2 a c over denominator c squared minus a squared end fraction equals fraction numerator 2 a c over denominator a squared minus c squared end fraction B u t space tan theta equals fraction numerator O p p o s i t e over denominator A d j a c e n t end fraction rightwards double arrow H y p o t e n u s e equals square root of open parentheses 2 a c close parentheses squared plus open parentheses a squared minus c squared close parentheses squared end root equals square root of 4 a squared c squared plus a to the power of 4 plus c to the power of 4 minus 2 a squared c squared end root equals square root of 2 a squared c squared plus a to the power of 4 plus c to the power of 4 end root equals a squared plus c squared rightwards double arrow sin left parenthesis alpha plus beta right parenthesis equals fraction numerator 2 a c over denominator a squared plus c squared end fraction space a n d space cos left parenthesis alpha plus beta right parenthesis equals fraction numerator a squared minus c squared over denominator a squared plus c squared end fraction
Answered by Renu Varma | 23 May, 2019, 05:07: PM

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