In trigonometry, occasionally we require students to learn the unique values the sine, cosine and tangent at 30, 45, 60 degrees, due to the fact that these room nice values. But I wonder if these facts are described or carry out teachers just say "https://piersonforcongress.com/sin-30-1-2/imager_6_8701_700.jpgsin(30) = 1/2 , memorise this!"https://piersonforcongress.com/sin-30-1-2/imager_6_8701_700.jpg
Here's my explanation.(I am not certain if castle teach this in schools, but I'll look up the textbook the following time ns visit well-known bookstore.)
Show that sin(30) = Opp/ Hyp = 1/2.
You are watching: Sin 30 = 1/2
1) draw a new line dividing the right-angle into 30 and 60 degrees respectively.
Now triangle ABD and also BCD are both isosceles. In fact, BCD is an equilateral triangle.
2) Hence, CD= BD = BC
3) since BD lies ~ above the isosceles triangle ABD, BD= AD.
4) break up sin(30) = opp/hyp = BC / AC = 1/2
5) For great measure, making use of pythagoras theorem, we have the right to now display that
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