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"cosec"theta+cottheta=sqrt(3)...

`"cosec"theta+cottheta=sqrt(3)`

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`theta=2npi+pi/3, theta=(2n-1)pi`
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Similar Questions

Explore conceptually related problems

Find the most general value of theta which satisfies both the equations, (i) "sin"theta=-(1)/(2),costheta=-(sqrt(3))/(2) (ii) cosectheta=2,cot theta=-sqrt(3) (iii) cottheta=-(1)/(sqrt(3)),cosec theta=-(2)/(sqrt(3))

cot theta+cosec theta=sqrt3

Knowledge Check

  • If "cosec"theta-cottheta=(1)/(sqrt(3)) where thetane0 , then what is the value of costheta ?

    A
    0
    B
    `(sqrt(3))/(2)`
    C
    `(1)/(2)`
    D
    `(1)/(sqrt(2))`

  • If cosec theta - cottheta = (1)/(3) , then cosec theta + cot theta =

    A
    1
    B
    2
    C
    3
    D
    4

  • If (sectheta - tantheta)/(sectheta + tantheta) = 3/5 ,then the value of ("cosec"theta + cot theta)/("cosec"theta - cottheta) is:

    A
    `27 + sqrt(15)`
    B
    `33 + 4sqrt(15)`
    C
    `31 + 8sqrt(15)`
    D
    `24 + sqrt(15)`

    • Similar Questions

    Explore conceptually related problems

    Eliminate theta " from the equations" x="cosec"theta+cottheta y="cosec"theta+cottheta .

    Prove that : (i) (1)/(sectheta-tantheta)+(1)/(sectheta+tantheta)=2sectheta " " (ii) ("cosec "theta+cottheta)/("cosec "theta-cottheta)=("cosec "theta+cottheta)^(2)

    The value of (1)/("cosec"theta-cottheta)-(1)/(sintheta) is

    If p="cosec " theta-cottheta and q = ("cosec "theta+cot theta)^(-1) , then which one of the following is correct ?

    If cosec theta-cot theta=(1)/(sqrt3) ,where theta ne 0 then what is the value of cos theta ?

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