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Find the coodinates of the point of inte...

Find the coodinates of the point of intersection of the curves `y= cos x , y= sin 3x ` if `-(pi)/(2) le x le (pi)/(2)`

Text Solution

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The correct Answer is:
`((pi)/(8),cos(pi)/(8)),((pi)/(4),cos(pi)/(4),cos(pi)/(4)),((-3pi)/(8),cos(3pi)/(8))`
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Knowledge Check

  • The number of points of intersection of the curves 2y =1 " and " y = "sin" x, -2 pi le x le 2 pi , is

    A
    2
    B
    3
    C
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    D
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  • The acute angle of intersection of the curves y=2sin^2x and y = cos 2x at x=pi/6 is

    A
    `pi/3`
    B
    `pi/6`
    C
    `pi/4`
    D
    None of the above

  • Area of the region bounded by the curves y = tan x, y = cot x and X-axis in 0 le x le (pi)/(2) is

    A
    3 log 2
    B
    log 2
    C
    2 log 2
    D
    `(pi)/(8)` log 2

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