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Asked by araima2001 | 8th Dec, 2015, 06:15: PM

Expert Answer:

C o n s i d e r space t h e space e x p r e s s i o n fraction numerator 1 minus tan 10 degree over denominator 1 plus tan 10 degree end fraction R e w r i t i n g space t h e space g i v e n space e x p r e s s i o n space a s comma space fraction numerator 1 minus t a n 10 degree over denominator 1 plus t a n 10 degree end fraction equals fraction numerator tan 45 degree minus t a n 10 degree over denominator 1 plus t a n 45 degree cross times t a n 10 degree end fraction W e space k n o w space t h a t comma space t a n open parentheses A minus B close parentheses equals fraction numerator t a n A minus t a n B over denominator 1 minus t a n A t a n B end fraction T h e r e f o r e comma space fraction numerator 1 minus t a n 10 degree over denominator 1 plus t a n 10 degree end fraction equals fraction numerator t a n 45 degree minus t a n 10 degree over denominator 1 plus t a n 45 degree cross times t a n 10 degree end fraction space space space space space space space space space space space space space space space space space space space equals tan open parentheses 45 degree minus 10 degree close parentheses space space space space space space space space space space space space space space space space space space space equals t a n 35 degree H e n c e space left parenthesis B right parenthesis space i s space t h e space c o r r e c t space o p t i o n.

Answered by Vimala Ramamurthy | 9th Dec, 2015, 08:41: AM

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