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The value of the determinant |a^2a1cosn ...

The value of the determinant `|a^2a1cosn xcos(n+a)xcos(n+2)xsinn xsin(n+1)xsin(n+2)x|` is independent of n (b) a (c) x (d) none of these

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let `A=nx` and `B=(n+1)x `,`C=(n+2)x`
Thus the given matrix becomes,
`|[a^2,a,1]` `[cosA,cosB,cosC]` `[sinA,sinB,sinC]| `
`=>a^2(cosBsinC-sinBcosC)-a(cosAsinC-sinAcosC)+1(cosAsinB-sinAcosB)` ...
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