Find the exact value of cot 45°, if the expression is undefined write undefined.

find the value exact of cot 45.If the expression is underfined

in an isosceles right triangle the angles are 45,45,90

if the two legs have length x, then the hypotenuse has length sqrt(x^2+x^2) = x sqrt 2
so
tan 45 = x/x = 1
cot 45 = 1/tan 45 = 1/1 = 1
sin 45 = x /xsqrt 2 = sqrt 2/2
cos 45 =sqrt 2/2
sec 45 = 1/cos 45 = sqrt 2
csc 45 =1/sin 45 = sqrt 2

im confused with what you did. my teacher said it was something like

Co + 45°=1/tan45°
=1/O/A= A/O=1/1=1

yes, that is what I said. Cot 45 = 1/tan 45 = 1

I also did the other trig functions of 45 because I am sure you will need them.

To find the exact value of cot 45°, we need to first understand what cotangent represents. The cotangent (cot) of an angle is the ratio of the adjacent side to the opposite side of a right triangle.

For a 45° angle in a right triangle, we have an isosceles right triangle, where both legs are equal in length. Let's assume the length of each leg is 1.

Since the adjacent side is equal to the opposite side in a 45° angle, the ratio of the adjacent side to the opposite side is 1/1, which simplifies to 1.

Therefore, the exact value of cot 45° is 1.

So, cot 45° = 1.