Home
Class 12
MATHS
The number of solution of 2cosx=|sinx| w...

The number of solution of `2cosx=|sinx|` where `x in [0.4pi]` is/are

Text Solution

AI Generated Solution

To solve the equation \(2 \cos x = |\sin x|\) for \(x\) in the interval \([0, 4\pi]\), we will analyze the graphs of the functions \(y = 2 \cos x\) and \(y = |\sin x|\) and find their intersection points. ### Step-by-Step Solution: 1. **Understand the Functions**: - The function \(y = 2 \cos x\) oscillates between -2 and 2, with a period of \(2\pi\). - The function \(y = |\sin x|\) oscillates between 0 and 1, with a period of \(\pi\). ...
Promotional Banner

Topper's Solved these Questions

  • GRAPH OF INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise Exercises|18 Videos

  • GRAPHS OF POLYNOMIAL AND RATIONAL FUNCTIONS

    CENGAGE ENGLISH|Exercise Exercises|17 Videos

Similar Questions

Explore conceptually related problems

Find the number of solutions of 2cos x=|sinx| when x in [0,4pi] .

The number of solutions of 2 cosx=|sinx|, 0 le x le 4 pi, is (a) 0 (b) 2 (c) 4 (d) infinite

The number of solutions of 2cosx=|sinx|,0lt=xlt=4pi, is (a) 0 (b) 2 (c) 4 (d) infinite

The number of solutions of the equation |cosx-sinx|=2cosx in [0,2pi] is (A) 1 (B) 2 (C) 3 (D) 4

Find the number of solution of [cosx]+|sinx|=1, x inpilt=xlt=3pi (where [ ] denotes the greatest integer function).

Find the number of solution of [cosx]+|sinx=1inpilt=xlt=3pi where [ ] denotes the greatest integer function.

Number of solution of sinx cosx-3cosx+4sinx-13 gt 0 in [0,2pi] is equal to

Find the number of solutions of tanx + secx = 2cosx in [0,2pi]

Find the number of solutions for sinxtan4x=cosx , when x in (0,pi)

The number of solutions of [sinx+cosx]=3+[-sinx]+[-cosx](w h e r e[] denotes the greatest integer function), x in [0,2pi] , is 0 (b) 4 (c) infinite (d) 1