Solve sin 2-8 - sin 23-8 - sin 25-8 - sin 27-8

sin^2(π8)+sin^2(3π8)+sin^2(5π8)+sin^2(7π8) =sin^2(π8)+sin^2(π2 π8)+sin^2(π2+π8)+sin^2(π π8) =2(sin^2(π8)+cos^2(π8)) =2 ...

250

You visited us 250 times! Enjoying our articles? Unlock Full Access!

Sum of Trigonometric Ratios in Terms of Their Product

Solve sin 2...

Question

Solve ${sin}^{2} \frac{π}{8} + {sin}^{2} \frac{3 π}{8} + {sin}^{2} \frac{5 π}{8} + {sin}^{2} \frac{7 π}{8}$

Open in App

Solution

Suggest Corrections

Similar questions

{sin}^{2} \frac{π}{8} + {sin}^{2} \frac{3 π}{8} + {sin}^{2} \frac{5 π}{8} + {sin}^{2} \frac{7 π}{8}

{sin}^{2} \frac{π}{8} + {sin}^{2} \frac{3 π}{8} + {sin}^{2} \frac{5 π}{8} + {sin}^{2} \frac{7 π}{8} = m

m

Prove that:

$s i n^{2} \frac{π}{8} + s i n^{2} \frac{3 π}{8} + s i n^{2} \frac{5 π}{8} + s i n^{2} \frac{7 π}{8} = 2$

s i n^{2} (\frac{π}{4}) + s i n^{2} (\frac{3 π}{4}) + s i n^{2} (\frac{5 π}{4}) + s i n^{2} (\frac{7 π}{4})

Join BYJU'S Learning Program