Omega বিষয়ক
sin{(ω16+ω23)π+π4}=? \sin{\left\{\left(\omega^{16}+\omega^{23}\right)\pi+\frac{\pi}{4}\right\}}=?\ sin{(ω16+ω23)π+4π}=?
2\sqrt2 2
−1-1 −1
−12-\frac{1}{\sqrt2} −21
12\frac{1}{\sqrt2} 21
sin{(ω16+ω23)π+π4}=sin{(ω3×5⋅ω+ω3×7⋅ω2)π+π4=sin{(ω+ω2)π+π4} \begin{aligned} & \sin \left\{\left(\omega^{16}+\omega^{23}\right) \pi+\frac{\pi}{4}\right\} \\ = & \sin \left\{\left(\omega^{3 \times 5} \cdot \omega+\omega^{3 \times 7} \cdot \omega^{2}\right) \pi+\frac{\pi}{4}\right. \\ = & \sin \left\{\left(\omega+\omega^{2}\right) \pi+\frac{\pi}{4}\right\}\end{aligned} ==sin{(ω16+ω23)π+4π}sin{(ω3×5⋅ω+ω3×7⋅ω2)π+4πsin{(ω+ω2)π+4π}
=sin(−π+π4)=sin−3π4=−12 (Ans.) \begin{array}{l}=\sin \left(-\pi+\frac{\pi}{4}\right) \\ =\sin \frac{-3 \pi}{4} \\ =\frac{-1}{\sqrt{2}} \text { (Ans.) }\end{array} =sin(−π+4π)=sin4−3π=2−1 (Ans.)
x=−1+−32then,x101+x200=? x = \frac{- 1 + \sqrt{- 3}}{2} t h e n , x^{101} + x^{200} = ? x=2−1+−3then,x101+x200=?
যদি ω একটি কাল্পনিক মূল হয় এবং ω3=1 হয় তবে,(1+ω-ω2)3-(1-ω+ω2)3 এর মান কত?
x2 + x + 1=0 হলে x3 এর মান কত ?
x=p+q,y=p+ x=\mathrm{p}+\mathrm{q}, y=\mathrm{p}+ x=p+q,y=p+ ωq,z=p+ω2q \omega q, z=p+\omega^{2} q ωq,z=p+ω2q হলে x3+y3+z3x^{3}+y^{3}+z^{3}x3+y3+z3=?
