sin^ pi/8 +sin^4 3pi/8 + sin^4 5pi/8 +sin^4 7pi/8=?

Answers (1)

Solution:     We have ,

                 sin^4 fracpi8 +sin^4 frac3pi8 +sin^4 frac5pi8+sin^4 frac7pi8

                 sin^4 fracpi8 +sin^4 frac3pi8 =1-frac12sin^2fracpi4=frac34

   Similarly ,    sin^4 frac7pi8 +sin^4 frac5pi8 =frac34

         ecause           sin^4(fracpi8)+sin^4(frac3pi8)+sin^4(frac5pi8)+sin^4(frac7pi8)=frac32.

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