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← JEE Main 2022 · 25 Jul · Shift 1
MathematicsSingle correct+4 / -1Question 18 of 90

JEE Main 2022 · 25 Jul · Shift 1, Mathematics question 18

The number of solutions of ∣cos⁡x∣=sin⁡x|\cos x|=\sin x, such that −4π≤x≤4π-4\pi\le x\le4\pi is :

Choose one option
Answer and worked solution

Official answer: C

Need sin⁡x≥0\sin x\ge0 and sin⁡x=∣cos⁡x∣\sin x=|\cos x|: x=π4,3π4x=\frac\pi4,\frac{3\pi}4 in each period. Over four periods: 8.

(C)

Topics:Trigonometric equations
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