evaluate without using a calculator
cot^-1(1)

Question

evaluate without using a calculator
cot^-1(1)

abb0t · Answer

remember, cot(x) = $\frac{cos}{sin}$

anonymous · Answer

does it matter which part i put for the inverse? Like can I put inverse cos/sin or cos/inverse sin?

anonymous · Answer

inverse of cot is just 1/cot

anonymous · Answer

or sin/ cos

anonymous · Answer

but 1/cot is easier for you here

anonymous · Answer

is this in radians?

anonymous · Answer

Yes

anonymous · Answer

How would I find the answer without using a calculator? Inverse of cot(1)

anonymous · Answer

$$
\cot^{-1}(1) =x
$$We can takes the $\cot$ of both sides:$$
\cot(x) = 1
$$Then we can remember $ \cot(x) = \cos(x)/\sin(x) $$$
\frac{\cos(x)}{\sin(x)} = 1 $$Finally we get$$
\cos(x) = \sin(x)
$$

anonymous · Answer

i think inverse of cotangent(1) is also equal to inverse of cotangent (adjacent side/opposite side) of a right triangle which means the adjacent side and opposite side have the same lengths. In order to have the same lengths for a right triangle the  angle should be 45 degrees since it is a right triangle

anonymous · Answer

Looking on the unit circle helps up imagine what this equation means:
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