expand sin 7θ/sinθ in terms of cosθ
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Answer:
) First take a look at this lin.k which is a guide for DeMoivre's formula.
2) Using step 1 show that
sin(7x)=64sin(x)cos(x)6−80sin(x)cos(x)4+24sin(x)cos(x)2−sin(x)
3) Replace cos2(x)=1−sin2(x) and obtain
sin(7x)=7sin(x)−56sin(x)3+112sin(x)5−64sin(x)7
4) Divide by sin(x)
sin(7x)sin(x)=7−56sin(x)2+112sin(x)4−64sin(x)6
Step-by-step explanation:
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by using DeMoivre's theorm express sin7θsinθ in the powers of Sine only answer given in the book is 7−56sin2θ+112sin4θ−64sin6θ can any one ...
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