If \\Delta_1=|\table x, \sin\\theta,\cos\\theta;- \sin\\theta,-x,1;\cos\\theta,1,x| and |\table x, \sin2\\theta,\cos2\\theta;- \sin2\\theta,-x,1;\cos2\\theta,1,x|, x\neq0; then for all \\theta \in (0,\\pi/2): [10 Apr 2019 Shift 1]

Correct Answer is : Δ1+Δ2=−2x3

\\Delta_{1}-\\Delta_{2}=x(\cos 2 \\theta-\cos 4 \\theta)

\\Delta_{1}+\\Delta_{2}=-2 x^{3}

\\Delta_{1}+\\Delta_{2}=-2\left(x^{3}+x-1\right)

\\Delta_{1}-\\Delta_{2}=-2 x^{3}

Matrices and Determinants Part 1

Section: Mathematics

Question : 20 of 100

Marks: +1, -0

If Δ1=|

| and |

|,x≠0; then for all θ∈(0,

[10 Apr 2019 Shift 1]

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