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

Step-by-step explanation:

The cotangent function can be rewritten by trigonometric relations, that is:

(1)

By taking approach the periodicity properties of the cosine and sine function (both functions have a period of 360°), we use the following equivalencies:

(2)

(3)

By (2) and (3) in (1), we have following expression:

If we know that and , then the result of the trigonometric expression is:

step-by-step explanation:

hans did not square the 40-unit side; he merely multiplied it by 2.   incorrect.