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 ∣ = sin x have for 0 ≤ x ≤ 4 π ?

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The right side must be nonnegative. On each 2π period, sin x = |cos x| at x = π/4 and 3π/4. Two periods give four solutions.

Mathematics - Trigonometric Equation Question with Solution | TestHub

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