Question

sin 60 cos 30 +sin 30 cos 60​

Answer 1

Answer:

we know that,

$sin = \frac{ \sqrt{3} }{2}$

$cos \: 30 = \frac{ \sqrt{3} }{2}$

$sin \: 30 = \frac{1}{2}$

$cos \: 60 = \frac{1}{2}$

Putting all values

sin 60° cos 30° + sin 30° cos 60°

$= ( \frac{ \sqrt{3} }{2} ) \times ( \frac{ \sqrt{3} }{2}) \times ( \frac{1}{2} ) \times (\frac{1}{2} )$

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

$= \frac{3}{4} + \frac{1}{4}$

$= \frac{3 + 1}{4}$

$= \frac{4}{4}$

$= 1$

Here, sin 60° cos 30° + sin 30° cos 60° = 1

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