What is the general solution for arctan(x)=-1 ?

The general solution for arctan(x)=-1 is x=-tan(1)

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arctan(x)=-1

arctan (x) = - 1

x = - tan (1)

Solution steps

arctan (x) = - 1

Apply trig inverse properties

arctan (x) = - 1

arctan (x) = a \Rightarrow x = tan (a)

x = tan (- 1)

tan (- 1) = - tan (1)

tan (- 1)

Use the following property:

tan (- x) = - tan (x)

tan (- 1) = - tan (1)

= - tan (1)

x = - tan (1)

x = - tan (1)

9 cos (x) tan (x) = - 4 tan (x)

cos (θ) - sin (θ) = 0

tan^{2} (x) - 9 tan (x) - 10 = 0

(cot (θ) - 1) (csc (θ) - 1) = 0

(tan (θ) - 1) (sec (θ) + 1) = 0

What is the general solution for arctan(x)=-1 ?
The general solution for arctan(x)=-1 is x=-tan(1)