SOLUTION: Find the value of without using calculator: sin^4 ( π/8)+sin^4 (3π/8)+sin^4 (5π/8)+sin^4 (7π/8)

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Question 1023864: Find the value of without using calculator: sin^4 ( π/8)+sin^4 (3π/8)+sin^4 (5π/8)+sin^4 (7π/8)
Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!

=,
because and , since
Now because of the fact that , the last expression is equal to
<----Equation (A)
Now implies that
, hence

==>
Thus,

after substitution into Equation A.

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