Cos C=(2a/(Sqrrt(2))(Sqrrt(34a^2+4)))Can anyone simplify thisI think it's possibleCan you show your work too?I am Eniram, (it's marine backwards). Created by Anonymous. science-mathematics-en - mathematics-en

Cos C=(2a/(Sqrrt(2))(Sqrrt(34a^2+4)))?

May 2021 2 27 Report

Cos C=(2a/(Sqrrt(2))(Sqrrt(34a^2+4)))?

Cos C=(2a/(Sqrrt(2))(Sqrrt(34a^2+4)))

Can anyone simplify this

I think it's possible

Can you show your work too?

I am Eniram,

(it's marine backwards)

Ok...

Cos (C)= [ 2a / √(2) ] * √( 34 a^2 + 4 )

= [ √(2) / √(2) ] [ [ 2a / √(2) ] * √( 34 a^2 + 4 ) ]

= [ 2a √(2) / 2 ] √ ( 2 ( 17 a^2 + 2 ) )

= a √(2) * √(2) √ ( 17 a^2 + 2 )

=2a √ ( 17 a^2 + 2 )

So... the right part of the equation can be simplified to

Cos (C) = 2a √(17 a^2 + 2)

If you want the value of C, C just equals

C = ± ArcCos [ 2a √( 2 + 17 a^2) ]

...