Asked by Ajnu C S | 17th May, 2014, 11:40: AM

Expert Answer:

tan to the power of minus 1 end exponent open parentheses 1 fourth close parentheses space plus space tan to the power of minus 1 end exponent open parentheses 2 over 9 space close parentheses equals space 1 half tan to the power of minus 1 end exponent open parentheses 4 over 3 close parentheses   T a k i n g space L. H. S  tan to the power of minus 1 end exponent open parentheses 1 fourth close parentheses space plus space tan to the power of minus 1 end exponent open parentheses 2 over 9 space close parentheses space equals space tan to the power of minus 1 end exponent fraction numerator 1 fourth plus 2 over 9 over denominator 1 space minus space 1 fourth 2 over 9 space end fraction space equals space tan to the power of minus 1 end exponent 1 half  N o w comma space l e t space theta space equals space space tan to the power of minus 1 end exponent 1 half space rightwards double arrow tan theta space equals space 1 half  tan 2 theta space equals space fraction numerator 2 tan theta over denominator 1 space minus space tan squared theta end fraction equals fraction numerator 2 cross times 1 half over denominator 1 space minus open parentheses 1 half close parentheses squared end fraction equals 4 over 3  rightwards double arrow 2 theta equals tan to the power of minus 1 end exponent 4 over 3  rightwards double arrow theta equals space space tan to the power of minus 1 end exponent 1 half equals 1 half tan to the power of minus 1 end exponent 4 over 3  T h u s comma space L. H. S space equals space R. H. S

Answered by Avinash Soni | 17th May, 2014, 03:03: PM

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