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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1
If D=∣1cos⁡θ1−sin⁡θ1−cos⁡θ−1sin⁡θ1∣D=\left|\begin{array}{ccc}1 & \cos \theta & 1 \\ -\sin \theta & 1 & -\cos \theta \\ -1 & \sin \theta & 1\end{array}\right|

f(x)f(x) 52θ5^2 \theta then DD lies in the interval
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Correct option: C
[2−2,2+2][2-\sqrt{2}, 2+\sqrt{2}]
Option C ([2−2,2+2][2-\sqrt{2}, 2+\sqrt{2}]) is correct because by expanding the determinant and simplifying the expression, we can find the range of values for D.

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