room \$cos^2 heta\$ and \$cos heta^2\$ the same?I typical be it \$sin,cos, an ,cot ,sec,csc\$. Room they same? Please help a rwandachamber.orgs noob here.

You are watching: Cos(2θ) = cos θ

No, they room not the same.

When you kind \$cos^2 heta\$ girlfriend actually median \$(cos heta)^2\$.

When you type \$cos heta^2\$ you typical \$cos( heta ^2)\$.

The very first notation is provided to mean\$\$cos^2 heta = left( cos heta ight)^2\$\$Your second notation will usually be review as\$\$cos heta^2 = cos left( heta^2 ight)\$\$although it is sometimes desired to usage the notation in the right-hand next to be clear.

They space not the very same since\$\$left( cos heta ight)^2 = cos hetacos heta e cos( heta heta) = cos( heta^2)\$\$

It"s a matter of syntax.

In handwriting or literature: \$sin^2 x equiv (sin x)^2\$ and also \$cos x^2 equiv cos (x^2)\$;

however for computer software, say rwandachamber.orgematica:

Cos\$^2\$ refers to \$(cos x)^2\$ while Cos describes \$cos (x^2)\$.

Should be very careful.

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