Math, asked by muskanf6942, 3 months ago

the value of sin 60 ×cos 30 is​

Answers

Answered by AmiPragga
18

We know that,

sin 60° = √3/2.

cos 30° = √3/2.

So, the value of sin 60° × cos 30° = √3/2×√3/2

= 3/4.

Answered by pulakmath007
4

SOLUTION

TO DETERMINE

The value of sin 60° × cos 30°

EVALUATION

Here the given expression is

sin 60° × cos 30°

We simplify it as below

sin 60° × cos 30°

 \displaystyle \sf \:  =  \frac{ \sqrt{3} }{2}  \times  \frac{ \sqrt{3} }{2}

 \displaystyle \sf \:  =  \frac{ \sqrt{3} \times  \sqrt{3}  }{2 \times 2}

 \displaystyle \sf \:  =  \frac{ 3}{4}

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