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sin4 pi /8+ sin4 3pi /8+ sin4 5pi /8 +sin4 7pi/ 8=3/2

sin4 pi /8+ sin4 3pi /8+ sin4 5pi /8 +sin4 7pi/ 8=3/2

Grade:11

1 Answers

Divyanshu Rawat
38 Points
6 years ago
sin4π/8 + [sin(π-π/8)]+ sin43π/8 + [sin(π-3π/8)]4
2[ sin4π/8 + sin43π/8 ]
 
Now we know that:
sin π/8 = [√(√2 -1)/2]  
and 
sin 3π/8 =[√(2+√2)]/2
So now replace values and enjoy the answer.
 
Hope it helps 
Thankyou

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