Find the number of integral values ...
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Find the number of integral values of n so that sinx(sinx + cosx) = n has at least one solution. ti +

JEE/Engineering Exams
Maths
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The gruen equation sim (sinx t corx) ( =n ) can be best solued by nit and trial method i.e if we take ( x=0 ) then [ n=sin 0(sin 0+cos 0)=0 ] that in maverce a solution Again if ule. Fake ( x=45 ) then [ begin{aligned} n &=sin 45^{circ}left(sin 45^{circ}+cos 45^{circ}right) &=frac{1}{sqrt{2}}left(frac{1}{sqrt{2}}+frac{1}{sqrt{2}}right)=frac{1}{sqrt{2}} times frac{2}{sqrt{2}}=frac{2}{2}=1 end{aligned} ] thin is alro a Momible value of ( n ) But after this there is no Moscole integal value values ( n ) has 2 integral valus
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