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If a leq 3 cos (theta+pi/3)+5cos theta...

If `a leq 3 cos (theta+pi/3)+5cos theta+3 leq b`, find `a and b`, where a is the minimum value & b is the If a maximum value.

Text Solution

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The correct Answer is:
(a) `y_("max")=11,y_("min")=1`: (b) `y_("max")=(13)/(3),y_("min")=-1`:(d)`a=-4&b=10`
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Knowledge Check

  • If A = [( 1, cos theta , 1),( - cos theta ,1,cos theta ),( -1 , - cos theta ,1)] where 0 le theta le 2 pi then …..

    A
    Det (A)=0
    B
    Det (A)` in ( 2 , prop )`
    C
    Det ` (A) in (2,4)`
    D
    Det (A) ` in [2,4]`

  • If A = [( 1, cos theta , 1),( - cos theta ,1,cos theta ),( -1 , - cos theta ,1)] where 0 le theta le 2 pi then …..

    A
    Det (A)=0
    B
    Det (A)` in ( 2 , prop )`
    C
    Det ` (A) in (2,4)`
    D
    Det (A) ` in [2,4]`

  • 0 lt theta lt (pi)/(2) then the minimum value of sin^(3) theta + cosec^(3) theta is……

    A
    2
    B
    1
    C
    0
    D
    Not possible

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