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Write the Value of Sin a Cos (90° − A) + Cos a Sin (90° − A). - Mathematics

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प्रश्न

Write the value of sin A cos (90° − A) + cos A sin (90° − A).

बेरीज

उत्तर

We have, 

`sin A cos(90°-A)=sin A sin A+cos A cos A` 

                     = `sin^2 A+cos ^2 A` 

We know that,  `sin^2 A+cos ^2 A` 

Therefore, 

\[\sin A\cos\left( 90°- A \right) + \cos A\sin\left( 90°- A \right) = 1\] 

 

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पाठ 11: Trigonometric Identities - Exercise 11.3 [पृष्ठ ५५]

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आरडी शर्मा Mathematics [English] Class 10
पाठ 11 Trigonometric Identities
Exercise 11.3 | Q 8 | पृष्ठ ५५

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