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If cos x=(-3)/(5) " and " pi lt x lt ...

If cos `x=(-3)/(5) " and " pi lt x lt .(3pi)/(2)` find the value of
`(i) "sin 2x "" ""(ii) cos 2x "" ""(iii) tan 2x "`

Text Solution

Verified by Experts

The correct Answer is:
`(i) .(24)/(25) " "(ii) (-7)/(25) " " (iii) (-24)/(7)`
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Knowledge Check

  • If sin x =(3)/(5) " and " 0 lt x lt (pi)/(2) find the value of tan (x)/(2)

    A
    `(1)/(3)`
    B
    `(4)/(5)`
    C
    `(3)/(4)`
    D
    None of these
  • If tan x=(-5)/(12) " and " (pi)/(2) lt x lt pi find the value of cos 2x

    A
    `-(7)/(17)`
    B
    `(7)/(17)`
    C
    `-(119)/(169)`
    D
    `(119)/(169)`
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