Question

② Evaluate sin 60 cos 30 +sin 30 cos 60
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Answer 1

$\:\huge\bf\colorbox{skyblue}{Answer}$

Hi there!

We know,

$\:\sf{sin\:60\:=\: \frac{√3}{2}}$

$\:\sf{cos\:30\:=\: \frac{√3}{2}}$

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

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

So,

=> sin 60 x cos 30 + sin 30 x cos 60

=> $\:\sf{\frac{√3}{2}}$ x $\:\sf{\frac{√3}{2}}$ + $\:\sf{\frac{1}{2}}$ x $\:\sf{\frac{1}{2}}$

=> $\:\sf{\frac{3}{4}}$ + $\:\sf{\frac{1}{4}}$

=> $\:\sf{\frac{4}{4}}$

=> 1

Therefore the answer is 1.

Hope this helps you!