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Write the Acute Angle θ Satisfying Cos B = 3 5 - Mathematics

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Question

Write the acute angle θ satisfying \[\cos B = \frac{3}{5}\]

Sum

Solution

We have:  `sqrt3 sinθ = cosθ`

⇒ `sqrt3 sin θ=cos θ` 

⇒` sinθ/cos θ=1/sqrt3` 

⇒ `tan θ= tan 30°` 

⇒`θ=30°` 

Hence the acute angle is 30°` 

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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 12 | Page 56
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