cos ⁡ C \cos \mathbb{C}

Geometry Level 3

a) True or false?

∀ x ∈ R , ∃ z ∈ C \forall x \in \mathbb{R}, \exists z \in \mathbb{C} such that cos ⁡ ( z ) = x \cos(z) = x

b) How many solutions has the equation cos ⁡ ( z ) = − 2018 \cos(z) = - 2018 such that z z is able to belong to C \mathbb{C} ?

a) False, b) 2 a) False, b) 0 a)True, b) 2 a) True, b) ∞ \infty

Guillermo Templado by Guillermo Templado , 46, Spain

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