If A- B and C denote the angles of a triangle- then - - - -1 cos C cos B cos C -1 cos A cos B cos A -1 - is independent of

The correct options are B B C A D C Δ =| 1 amp; cos C amp; cos B cos C amp; 1 amp; cos A cos B amp; cos A amp; 1 | A ...

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Exterior Angle of a Triangle and Its Property

If A, B and C...

Question

If A, B and C denote the angles of a triangle, then $Δ = ∣ ∣ ∣ ∣ \begin{matrix} - 1 & c o s C & c o s B c o s C & - 1 & c o s A c o s B & c o s A & - 1 \end{matrix} ∣ ∣ ∣ ∣$ is independent of

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Solution

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Similar questions

A, B

C

= ∣ ∣ ∣ ∣ \begin{matrix} - 1 & cos C & cos B cos C & - 1 & cos A cos B & cos A & - 2 \end{matrix} ∣ ∣ ∣ ∣

∣ ∣ ∣ ∣ \begin{matrix} - 1 & cos C & cos B cos C & - 1 & cos A cos B & cos A & - 1 \end{matrix} ∣ ∣ ∣ ∣

|\begin{matrix} - 1 & \cos C & \cos B \\ \cos C & - 1 & \cos A \\ \cos B & \cos A & - 1 \end{matrix}|

Δ = ∣ ∣ ∣ ∣ \begin{matrix} a^{2} & b sin A & c sin A b sin A & 1 & cos A c sin A & cos A & 1 \end{matrix} ∣ ∣ ∣ ∣

Δ

A B C

A, B, C

a, b, c

a = 2, b = \sqrt{6}

c = \sqrt{3} - 1

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