Respuesta :

hisroyal1
The answer is -1

[tex]cot \frac{3π}{4} [/tex] = 1 ÷ [tex]tan \frac{3π}{4} [/tex]

the trig unit circle
[tex]tan \frac{3π}{4} [/tex] = [tex] - tan \frac{π}{4} [/tex]
= -1

Remember,
[tex]cot \frac{3π}{4} [/tex] = 1 ÷ [tex]tan \frac{3π}{4} [/tex]
= 1 ÷ -1
= -1
carlosego
By definition, Cot(α)=Adjacent leg/Opposite leg

 Then, when you substitute the values, you obtain:

 Cot(3π/4)=-(√2/2)/(√2/2)

 When you simplify the expression, you have the following result:

 Cot(3π/4)=-1

 What is the exact value of Cot(3π/4)?

 The answer is: The exact value of Cot(3π/4) is -1
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