Question

Evaluate cot 45° without using a calculator by using ratios in a reference triangle.

Answer 1

It's by drawing a right-angled triangle with sides 1,1 and 2 with a line cutting it in 2 I believe(I forgot). You can look up reference triangle on Google.

Answer 2

without using a calculator, but using your Unit Circle :)

Answer 3

\(\bf cot(\theta) = \cfrac{cos(\theta)}{sin(\theta)}\)

Answer 4

notice in your Unit Circle that \(\bf cos(45^o) = \cfrac{\sqrt{2}}{2} \qquad \qquad sin(45^o) = \cfrac{\sqrt{2}}{2}\\\quad \\
cot(45^o) = \cfrac{\quad \frac{\sqrt{2}}{2}\quad }{\frac{\sqrt{2}}{2}} \implies \square?\)

Answer 5

thank u guys

Answer 6

yw