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Write True' Or False' and Justify Your Answer the Following : the Value of Cos 2 23 − Sin 2 67 is Positive . - Mathematics

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प्रश्न

 Write True' or False' and justify your answer  the following : 

The value of  \[\cos^2 23 - \sin^2 67\]  is positive . 

सत्य या असत्य
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उत्तर

\[\cos^2 23°- \sin^2 67°\]
\[ = \sin^2 \left( 90°- 23°\right) - \sin^2 67°\]
\[ = \sin^2 67° - \sin^2 67°\]
\[ = 0\] 

Which is not positive, the given statement is false.

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अध्याय 11: Trigonometric Identities - Exercise 11.3 [पृष्ठ ५६]

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 11 Trigonometric Identities
Exercise 11.3 | Q 24.3 | पृष्ठ ५६

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