The number of solutions of cos x = sin x , such that - 4 π ≤ x ≤ 4 π is

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MathematicsTrigonometric EquationTrigonometric EquationEasy2 minPYQ_2022

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The number of solutions of $|\cos x| = \sin x$ , such that $- 4 π \leq x \leq 4 π$ is

Question diagram: The number of solutions of cos x = sin x , such that - 4 π ≤

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Solution:

The number of solutions will be the number of points of intersection of the graphs $y = |\cos x| & y = \sin x$
Plotting the two curves on the same axis, we get,
the number of intersection as $8$

Stream:JEESubject:MathematicsTopic:Trigonometric EquationSubtopic:Trigonometric Equation

⏱ 2mℹ️ Source: PYQ_2022

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