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sin x+sin y = ¼ and sin x- sin y= 1/5 then the value of 4.cot(x-y/2)a.5cot(x-y/2)b.5tan(x-y/2)c.5cot(x+y/2)d.5tan(x+y/2)this question is correct please find the value..please
Dear student 2sin x + y/2 cos x-y/2 = ¼ and 2 cos x+y/2 sinx-y/2 = 1/5 now divide tan x + y/2 cotx-y/2 = 5/4 4 cot x-y/2 = 5 cot x+y/2 option C is correct
sinx+siny=1/4Or,2sin(x+y/2)cos(x-y/2)=1/4........(eq1)sinx-siny=1/5Or,2cos(x+y/2)sin(x-y/2)=1/5........(eq2)Divide eq1 by eq2.tan(x+y/2)cot(x-y/2)=5/4Or,4cot(x-y/2)=5cot(x+y/2)
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