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Trignometry

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16 Nov 2011 00:03:39 IST

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how to find value of sin of 1 degrees?

Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Trigonometry

how to find value of sin of 1 degrees?

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i49bsdzs

New kid on the Block

Joined: 13 Feb 2011

Posts: 21

20 Nov 2011 13:37:02 IST

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sin3 = sin 3*1

= 3sin1 - 4sin^3 1

but sin3 = sin (18 - 15)

= sin18 cos15 - cos18 sin15

therefore,

sin18 cos15 - cos18 sin15 = 3 sin1 - 4 sin^3 1

-> sin 18 =[ 5^(1/2) - 1] / 4

cos18= [ {10 + 2 (5)^ 1/2 } ^ 1/2] / 4

sin 15= (3^1/2 -1) / 2root2

cos 15= (3^1/2 +1)/ 2root2

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