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If a + B = 90° and Cos B = 3 5 What is the Value of Sin A? - Mathematics

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Question

If A + B = 90° and \[\cos B = \frac{3}{5}\]  what is the value of sin A? 

Sum

Solution

We have: 

`A+B=90°` 

`Cos B=3/5` 

`A+B=90°`

⇒ `A=90-B`

⇒`Sin A=sin (90-B)` 

⇒` Sin A= Cos B` 

⇒ `sin A=3/5 [sin(90°-B)= cos B ]` 

Hence the value of sin A is `3/5`

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Chapter 10: Trigonometric Ratios - Exercise 10.4 [Page 56]

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RD Sharma Mathematics [English] Class 10
Chapter 10 Trigonometric Ratios
Exercise 10.4 | Q 11 | Page 56
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