Let α=cos2π7+cos4π7+cos6π7 and β=sin2π8+sin23π8+sin25π8+sin27� – InterviewSolution

1.	Let α=cos2π7+cos4π7+cos6π7 and β=sin2π8+sin23π8+sin25π8+sin27π8. The angle between the two lines whose slopes are α,β is
Answer» Let $α = cos \frac{2 π}{7} + cos \frac{4 π}{7} + cos \frac{6 π}{7}$ and $β = {sin}^{2} \frac{π}{8} + {sin}^{2} \frac{3 π}{8} + {sin}^{2} \frac{5 π}{8} + {sin}^{2} \frac{7 π}{8}$ . The angle between the two lines whose slopes are $α, β$ is

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