Find the exact value of sec 330° in simplest form with a rational denominator.

Step-by-step explanation:

Given :-

And we need to find out its value . Firstly we know that 330° lies in 4th quadrant . And In fourth quadrant , cosine and secant are positive . Therefore , the result will be positive. Now we know that ,

Using this ,

And the value of sec 30° is ,

And by question we need to write it with a rational denominator .So on rationalising the denominator , we have ,

Hence the required answer is 2√3/3.

1e+27

step-by-step explanation: