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Question

In the given equilateral triangle ABC, find the value of sin 30 and cos 30, without using tables.

AD is the perpendicular bisector of BC.


A

12, 12

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B

12, 32

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C

12, 2

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D

13, 3

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Solution

The correct option is B

12, 32


Let each side of the equilateral triangle be a.

AD is the perpendicular bisector of BC. (which is also the median and angle bisector).

In ADB

AD2 = AB2BD2

= a2a24

= 3a24

AD=3a2

sin30=BDAB = (a2)a = 12

cos30 = ADAB = 3a2a = 32


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