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Evaluate the following in the simplest form: sin 60º cos 45º + cos 60º sin 45º - CBSE Class 10 - Mathematics

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Question

Evaluate the following in the simplest form: sin 60º cos 45º + cos 60º sin 45º

Solution

sin 60º cos 45º + cos 60º sin 45º

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

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

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Solution Evaluate the following in the simplest form: sin 60º cos 45º + cos 60º sin 45º Concept: Trigonometric Ratios of Some Specific Angles.
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