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Mathematics 13 Online
OpenStudy (anonymous):

Prove That : ____________

OpenStudy (anonymous):

what

OpenStudy (anonymous):

what

OpenStudy (anonymous):

QED

OpenStudy (anonymous):

\[2\cos(45-2A)\cos(45+2A)=1-8(\sin ^{2}A)(\cos ^{2}A)\]

OpenStudy (anonymous):

ohhhhh my god

OpenStudy (anonymous):

degrees? Or radians?

OpenStudy (anonymous):

degrees

OpenStudy (anonymous):

but it is easy i think because cos(45-2A)=cos(45)*cos(A)+sin(45)*sin(A)=cos45cos2A+sin45sin2A. COS(45+2A)=cos45cos2A-sin45sin2A. cos(45-2A)cos(45+2A)=(cos45.*cos2A+sin45*sin2A)*(cos45cos2A-sin45sin2A.)= \[\cos ^{2}45\]*\[\cos ^{2}2A\]-\[\sin ^{2}45*\sin ^{2}2A\]=0.5*\[\cos ^{2}2A\]-0.5*\[\sin ^{2}2A\] when we multiplay by 2 we find

OpenStudy (anonymous):

i feel so tired you can complete

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