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Evaluate the following in the simplest form: sin 60º cos 30º + cos 60º sin 30º - Mathematics

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Evaluate the following in the simplest form: sin 60º cos 30º + cos 60º sin 30º

 

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Solution

sin 60º cos 30º + cos 60º sin 30º

`=\frac{\sqrt{3}}{2}\times \frac{\sqrt{3}}{2}+\frac{1}{2}\times\frac{1}{2}=\frac{3}{4}+\frac{1}{4}=1`

Concept: Trigonometric Ratios of Some Special Angles
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APPEARS IN

NCERT Class 10 Maths
Chapter 8 Introduction to Trigonometry
Exercise 8.2 | Q 1.1 | Page 187
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