The question is, Does there exist an angle theta with the function values COS theta=.6 and SIN theta=-.8.....could someone explain this to me. Not really sure what is meant by the question.

The question is, Does there exist an angle theta with the function values COS theta=.6 and SIN theta=-.8.....could someone explain this to me. Not really sure what is meant by the question.

The question is, Does there exist an angle theta with the function values COS theta=.6 and SIN theta=-.8.....could someone explain this to me. Not really sure what is meant by the question.

From the Pythagorean Identity:

.

So check what equals.

If it equals then there must exist some that holds for your conditions.