Answer:
cos(x-30)=1/2
Step-by-step explanation:
We use the following relationship to obtain cos(x)
From that, we have that cos(x)= sqrt(1-1/4)=sqrt(3) / 4
To obtain the value of cos(x-30), lets remember the following expression:
Therefor, we can use that to obtain our desired function cos(x-30)
cos(x)*cos(30)+sin(x)*sin(30)
=2/4=1/2
<u>Given</u>:
The given expression is
We need to determine how the expression can be simplified.
<u>Simplifying the expression:</u>
Let us determine how the expression can be simplified.
The expression is given by
Applying the exponent rule that in the above expression, we get;
Adding the exponents, we get;
Again, applying the exponent rule , we get;
Thus, the simplified expression is
Hence, the expression is simplified by adding the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.
Therefore, Option D is the correct answer.
