Question and Answers Forum

All Questions      Topic List

Others Questions

Previous in All Question      Next in All Question      

Previous in Others      Next in Others      

Question Number 76012 by mathocean1 last updated on 22/Dec/19

show that   1−3sin^2 xcos^2 x=(5/8)+(3/8)cos4x

$$\mathrm{show}\:\mathrm{that}\: \\ $$$$\mathrm{1}−\mathrm{3sin}^{\mathrm{2}} {x}\mathrm{cos}^{\mathrm{2}} {x}=\frac{\mathrm{5}}{\mathrm{8}}+\frac{\mathrm{3}}{\mathrm{8}}\boldsymbol{\mathrm{cos}}\mathrm{4}\boldsymbol{{x}} \\ $$

Answered by benjo last updated on 22/Dec/19

1−3/4(sin^2 2x)=  1−3/4( 1−cos4x)/2  5/8+3/8cos4x

$$\mathrm{1}−\mathrm{3}/\mathrm{4}\left({sin}^{\mathrm{2}} \mathrm{2}{x}\right)= \\ $$$$\mathrm{1}−\mathrm{3}/\mathrm{4}\left(\:\mathrm{1}−{cos}\mathrm{4}{x}\right)/\mathrm{2} \\ $$$$\mathrm{5}/\mathrm{8}+\mathrm{3}/\mathrm{8}{cos}\mathrm{4}{x} \\ $$

Commented by mathocean1 last updated on 22/Dec/19

please how have you done to have  the first line?

$$\mathrm{please}\:\mathrm{how}\:\mathrm{have}\:\mathrm{you}\:\mathrm{done}\:\mathrm{to}\:\mathrm{have} \\ $$$$\mathrm{the}\:\mathrm{first}\:\mathrm{line}? \\ $$

Commented by benjo last updated on 22/Dec/19

Terms of Service

Privacy Policy

Contact: info@tinkutara.com