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If sin theta, sin k theta are the roots...

If `sin theta, sin k theta ` are the roots of `4x^2+2x-1=0,` then k =

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D_ (k) = | 2 ^ (k-1) (1) / (k (k + 1)) sin k theta xyz2 ^ (n) -1 (n) / (n + 1) (sin ((n +) 1) / (2) theta (sin n) / (2) theta) / (sin theta) / 2, thensum_ (k = 1) (n) D_ (k)