The value of cot(−315
∘
) is:

First, use the identity cot(−θ)=−cot(θ):
cot(−315
∘
)=−cot(315
∘
)
Now, evaluate cot(315
∘
) by rewriting it inside the standard quadrants:

315
∘
=360
∘
−45
∘

Since 315
∘
lies in the fourth quadrant where cotangent is negative:

cot(360
∘
−45
∘
)=−cot(45
∘
)=−1
Substitute this back into our original transformation:

cot(−315
∘
)=−(−1)=1