13-12-2016
Mathematics

Answered

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

Choices are in the attachment.

Find the exact value of sin(11pi/8). Choices are in the attachment. class=

Verified Answer :

HomertheGenius HomertheGenius

15-12-2016

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

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