Cot x = cos x / sin x
cot π/4 = cot 45° = cos 45° / sin 45°
We know that sin 45° and sin 45° have the same value:
cos 45° = sin 45° = √2 / 2;
cos 45° / sin 45° = √2/2 : √2/2 = 1
Answer:
cot π/4 = 1
Answer:
37/24
Step-by-step explanation:
Rationalize both the numerator and denominator. Given

we can rationalize it by introducing conjugates of the numerator and denominator:

Then the limit is equivalent to

For the remaining expression, divide through uniformly by
:

As <em>n</em> goes to infinity, the remaining terms containing <em>n</em> converge to 0, leaving

making the overall limit 3.