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If "cosec"^(2) theta + 2 cot^(2) theta=1...

If `"cosec"^(2) theta + 2 cot^(2) theta=10`, then find the value of `sin theta + cos theta` when `0^(@) lt theta lt 90^(@)`

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If (cos theta)/(1- sin theta) + (cos theta)/(1 + sin theta) =4 , then find the value of cos theta . Find theta if 0^(@) lt theta lt 90^(@)

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Knowledge Check

  • If 0^@ lt theta lt 90^@ , then the value of sin theta + cos theta is

    A
    equal to 1
    B
    greater than 1
    C
    less than 1
    D
    equal to 2

  • If cosec^(2)theta+cot^(2)theta=(5)/(7) , then find the value of cosec^(4)theta-cot^(4)theta .

    A
    `(5)/(7)`
    B
    `(7)/(5)`
    C
    `(1)/(7)`
    D
    None of these

  • If sin theta + cosec theta =2 ,then the value of sin^5theta cosec^5 theta ,when 0^@ le theta le 90^@ , is

    A
    0
    B
    1
    C
    10
    D
    2

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    For what value of theta , is (tan theta + cosec theta) = 2.5 where 0 lt theta le 90^(@) ?

    If (cos ^(2) theta - 1) ( 2 sec ^(2) theta) + sec ^(2) theta + 2 tan ^(2) theta = 2 , 0 ^(@) lt theta lt theta lt 90^(@) , then (( "cosec" theta + cos theta))/(( "cosec theta - cos theta)) is equal to :

    If sintheta - cos theta = 7/13 and 0 lt theta lt 90^(@) ,then the value of sin theta + cos theta is:

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    If (1/(1+ "cosec" theta)-1/(1-"cosec" theta))costheta =2,0^@ lt theta lt 90^@ then the value of sin^2 theta + cot^2 theta + sec^2 theta is :

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