Grade 12Trigonometry
The no of integral values of n such that sinx(cosx +sinx)= n has atleast one solution is A.0B.2C.4D.1
The no of integral values of n such that sinx(cosx +sinx)= n has atleast one solution is
A.0
B.2
C.4
D.1
1 Answer
Aditya Gupta
Obviously RHS is less than 3/2 and greater than -1/2 ( we know this because we have considered extreme values of sinxcosx and sin^2x). But n being an integer can be 0 or 1, which are both attained at x= 0 and x=pi/2
So number of integral values of n is 2
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