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Write the Value of ∣ ∣ ∣ Sin 20 ∘ − Cos 20 ∘ Sin 70 ∘ Cos 70 ∘ ∣ ∣ ∣ - Mathematics

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प्रश्न

Write the value of 

\[\begin{vmatrix}\sin 20^\circ & - \cos 20^\circ\\ \sin 70^\circ& \cos 70^\circ\end{vmatrix}\]

उत्तर

\[\text{ Let }\Delta = \begin{vmatrix} \sin 20^\circ & - \cos 20^\circ\\\sin 70^\circ & \cos 70^\circ \end{vmatrix}\] 
\[ = \sin 20^\circ \cos 70^\circ + \cos 20^\circ\sin 70^\circ\] 
\[ = \sin (20^\circ + 70^\circ) \left[\text{ trignometric identity }\right]\] 
\[ = \sin 90^\circ \] 
\[ = 1\] 

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अध्याय 6: Determinants - Exercise 6.6 [पृष्ठ ९०]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 6 Determinants
Exercise 6.6 | Q 20 | पृष्ठ ९०

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