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The number of solutions of sec x cos 5x ...

The number of solutions of sec x cos 5x + 1 = 0 in the interval `[0,2pi]` is

A

5

B

8

C

10

D

12

Text Solution

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The correct Answer is:
B
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Match the following {:(" Column - I "," Column - II "),("a) The number of solutions of " sum_(r = 1 )^(5) cos r x = 5 " in the interval " [0, 2 pi] is ,"p) 0 "),("b) Number of solutions of the equations " y = (1)/(3) [ sin x + [ sin x [ sin x ]]]and [y + [y]]= 2 cos x " where " [*] " denotes greatest integer function is ","q) 1 "),("c) The number of solutions of " log |sin x| = - x^(2) + 2x " when " x in [(-pi)/(2), (3 pi)/(2)] is ,"r) 2 "),("d) The total number of solutions of the equation " 3 x + 2 tan x = (5 pi)/( 2) " in " x in [ 0, 2 pi ] " is equal to " ,"s) "):}

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Knowledge Check

  • The number of solutions of secxcos5x+1=0 in the interval [0,2pi] is

    A
    5
    B
    8
    C
    10
    D
    12

  • The number of solutions of sum_(r=1)^(5)cosrx=5 in the interval [0,2pi] is

    A
    0
    B
    1
    C
    5
    D
    2

  • The number of solutions of the equation x+2tanx=(pi)/2 in the interval [0,2pi] is

    A
    1
    B
    2
    C
    3
    D
    infinite

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