Let f(x) = Maximum {sin, cos} ∀ x ∈ R. minimum value of f (x) is:
Answer & explanation
Correct answer: option 4
Draw graph
Points of change are when sin x = cos x ⇒ tan x = 1
At the point, minimum value of sin x = cos x = $\frac{-1}{\sqrt{2}}$
Let f(x) = Maximum {sin, cos} ∀ x ∈ R. minimum value of f (x) is:
Correct answer: option 4
Draw graph
Points of change are when sin x = cos x ⇒ tan x = 1
At the point, minimum value of sin x = cos x = $\frac{-1}{\sqrt{2}}$