An equation f ( x ) = g ( x ) has one solution for each distinct intersection of y = f ( x ) and y = g ( x ) . How many solutions does ∣ cos x ∣ = 2 ⌊ x ⌋ have? Here ⌊ x ⌋ is the greatest integer not

Question

An equation f ( x ) = g ( x ) has one solution for each distinct intersection of y = f ( x ) and y = g ( x ) . How many solutions does ∣ cos x ∣ = 2 ⌊ x ⌋ have? Here ⌊ x ⌋ is the greatest integer not exceeding x .

TestHub · Accepted Answer

As in Q1: x < 0 gives a negative right side, 0 ≤ x < 1 gives |cos x| > 0 against zero, and x ≥ 1 gives a right side at least 2. No solutions.

Mathematics - Trigonometric Equation Question with Solution | TestHub

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