Find the cotangent of the real number

-

Step-by-step explanation:

Using the trigonometric identity

cot x =

Thus

tan( ) = - tan ()

Since is in the fourth quadrant where tan < 0

and

2π - = ← related acute angle

Then

- tan() = - , hence

cot () = = -

the answer is (4,3)

since the rule for r0, 90º is (-y,x) and it was already applied to form the image, all you have to do is reverse the answer using this formula.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents