sinma+sinna=0
solve the equation

Asked by Anil | 17th Jun, 2017, 08:25: PM

Expert Answer:

begin mathsize 16px style sinma plus sinna equals 0
2 sin open parentheses fraction numerator ma plus na over denominator 2 end fraction close parentheses cos open parentheses fraction numerator ma minus na over denominator 2 end fraction close parentheses equals 0
2 sin open parentheses fraction numerator open parentheses straight m plus straight n close parentheses straight a over denominator 2 end fraction close parentheses cos open parentheses fraction numerator open parentheses straight m minus straight n close parentheses straight a over denominator 2 end fraction close parentheses equals 0
rightwards double arrow sin open parentheses fraction numerator open parentheses straight m plus straight n close parentheses straight a over denominator 2 end fraction close parentheses equals 0 space space or space space cos open parentheses fraction numerator open parentheses straight m minus straight n close parentheses straight a over denominator 2 end fraction close parentheses equals 0
rightwards double arrow open parentheses fraction numerator open parentheses straight m plus straight n close parentheses straight a over denominator 2 end fraction close parentheses equals 0 space space or space space open parentheses fraction numerator open parentheses straight m minus straight n close parentheses straight a over denominator 2 end fraction close parentheses equals straight pi over 2 space space space space open parentheses cos to the power of negative 1 end exponent 0 equals straight pi over 2 close parentheses
rightwards double arrow straight m plus straight n equals 0 space space or space space straight m minus straight n equals straight pi space space open parentheses straight a not equal to 0 close parentheses
rightwards double arrow straight m equals negative straight n space space or space space space straight m minus straight n equals straight pi
rightwards double arrow straight m equals straight pi over 2 space space and space straight n equals negative straight pi over 2 space space


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Answered by Sneha shidid | 19th Jun, 2017, 10:54: AM