Which of the following expressions could not be used to determine the exact value of cos 120°?

Which Of The Following Expressions Could Not Be Used To Determine The Exact Value Of Cos 120 class=

Answer :

From the trigonometrical identities, we know that

[tex]\cos 2x=\cos ^2x-\sin ^2x=2\cos ^2-1=1-2\sin ^2x[/tex]

These identites will give us cosine of 120 when x=60.

On the other hand,

[tex]\sin 2x=2\sin x\cos x[/tex]

which will give us sine of 120 when x=60.

Therefore, by comparing with the given options, the answer is:

[tex]2\sin 60\cos 60[/tex]