Find the maximum value of 1 1 1 1 1-sin- 1 1 1 1-cos-

1 amp; 1 amp; 1 1 amp; 1+sinθ #160; #160; amp; 1 1 amp; 1 amp; 1 ⇒ 1 amp; 1 amp; 1 1 amp; 1+sinθ # ...

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Determinant

Find the maxi...

Question

Find the maximum value of
$∣ ∣ ∣ ∣ \begin{matrix} 1 & 1 & 1 1 & 1 + sin θ & 1 1 & 1 & 1 + cos π \end{matrix} ∣ ∣ ∣ ∣$

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Similar questions

|\begin{matrix} 1 & 1 & 1 \\ 1 & 1 + \sin θ & 1 \\ 1 & 1 & 1 + \cos θ \end{matrix}|

The maximum value of $|\begin{matrix} 1 & 1 & 1 \\ 1 & 1 + \sin θ & 1 \\ 1 & 1 & 1 + \cos θ \end{matrix}|$ is ___________.

θ ϵ R

Δ = ∣ ∣ ∣ ∣ \begin{matrix} 1 & 1 & 1 1 & 1 + sin θ & 1 1 & 1 & 1 + cos θ \end{matrix} ∣ ∣ ∣ ∣

(c o s \frac{π}{8} + i s i n \frac{π}{8}) \times (c o s \frac{π}{12} + i s i n \frac{π}{12}) \times (c o s \frac{π}{24} + i s i n \frac{π}{24}) \times (c o s \frac{π}{4} + i s i n \frac{π}{4})

∆ = |\begin{matrix} 1 & 1 & 1 \\ 1 & 1 + \sin θ & 1 \\ 1 + \cos θ & 1 & 1 \end{matrix}|

\frac{1}{2}

\frac{\sqrt{3}}{2}

\sqrt{2}

- \frac{\sqrt{3}}{2}

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