13-12-2016
Mathematics

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Find the exact value of sin(11pi/8).

Choices are in the attachment.

Find the exact value of sin11pi8 Choices are in the attachment class=

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HomertheGenius HomertheGenius

16-12-2016

sin ( 11π / 8 ) = sin ( π + 3 π/ 8 ) =
= - sin ( 3π/8 ) =
= - sin ( 3π/4 / 2 ) =
[tex]=- \sqrt{ \frac{1-cos(3 \pi /4)}{2} }= \\ =- \sqrt{ \frac{1-(- \sqrt{2}/2 )}{2} }= \\ = - \sqrt{ \frac{2+ \sqrt{2} }{4} } [/tex]
Answer: B ) is correct

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