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Grade 12Trigonometry

sum of integral values of n such that sin x(2sinx+cosx)=n, has at least one real solution is
(a)0 (b)1 (c)2 (d)3

pallavi

8 Years agoGrade 12

1 Answer

Arun

Approved Tutor Answer8 Years ago

2 sin^2x + 2sinx cosx/2 = n

sin2x+ 2(1-cos2x) = 2n

Sin2x - 2 cos2x = 2(n-1)

- $\large \sqrt$ 5 $\large \sqrt$ 5

1 - $\large \sqrt$ 5/2 $\large \sqrt$ 5/2

Hence integral values of n = 0, 1, 2

total number of integral value = 3 (option D)

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