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If tantheta = p/q then the value of (p s...

If `tantheta = p/q` then the value of `(p sintheta-q costheta)/(p sintheta + qcostheta` is

A

`(p^(2) -q^(2))/(p^(2)+q^(2))`

B

`(p^(2) +q^(2))/(p^(2)-q^(2))`

C

0

D

`(p-q)/(p+q)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If tantheta =p/q , then the value of (p sintheta-q costheta)/(p sintheta+q costheta) is

    A
    `(p^(2)-q^(2))/(p^(2)+q^(2))`
    B
    `(p^(2)+q^(2))/(p^(2)-q^(2))`
    C
    0
    D
    1

  • The value of (sintheta)/(1+costheta)+(sintheta)/(1-costheta) is :

    A
    `2sintheta`
    B
    `2costheta`
    C
    `2sectheta`
    D
    `2cosectheta`

  • If tantheta=(5)/(9) , then what is the value of (5sintheta+9costheta)/(5sintheta-9costheta) ?

    A
    `(17)/(12)`
    B
    `(-53)/(28)`
    C
    `(-27)/(25)`
    D
    `(31)/(23)`

    • Similar Questions

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    If tan theta=(q)/(p) then find the value of (p sintheta+qcos theta)/(p cos theta+qsintheta)

    If tantheta=(4)/(3) , then find the value of (3sintheta-2costheta)/(3sintheta+5costheta)

    (i) If tantheta=(a)/(b) ,then find the value of (2sintheta-3costheta)/(2sintheta+3costheta)

    If sec A = x+(1)/(4x) prove that: sec A + tan A = 2x or (1)/(2x) (b) If "tan" theta = (p)/(q) ,show that : (p sin theta - q costheta)/(p"sin"theta+qcostheta)=( p^(2) - q^(2))/(p^(2)+q^(2))

    If 5tantheta-4=0 , then value of (5sintheta-4costheta)/(5sintheta+4costheta) is

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