Question Number 97132 by student work last updated on 06/Jun/20
$$\mathrm{is}\:\mathrm{the}\:\mathrm{formulla}\:\mathrm{of}\:\mathrm{sin}\:^{\mathrm{3}} \left(\frac{\pi}{\mathrm{2}}+\mathrm{x}\right)=\mathrm{cos}\:^{\mathrm{3}} \mathrm{x}\:\:\:\:\mathrm{correct}? \\ $$
Commented by student work last updated on 06/Jun/20
$$\mathrm{ans}\:\mathrm{me} \\ $$
Answered by Ar Brandon last updated on 06/Jun/20
$$\mathrm{sin}\left(\frac{\pi}{\mathrm{2}}+\mathrm{x}\right)=\mathrm{sin}\left(\frac{\pi}{\mathrm{2}}−\mathrm{x}\right)=\mathrm{cosx} \\ $$$$\mathrm{thus}\:\mathrm{sin}^{\mathrm{3}} \left(\frac{\pi}{\mathrm{2}}+\mathrm{x}\right)=\mathrm{cos}^{\mathrm{3}} \mathrm{x} \\ $$
Commented by student work last updated on 06/Jun/20
$$\mathrm{thanks} \\ $$