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If 0 lt theta lt pi/2 and sin 2 theta =...

If `0 lt theta lt pi/2 and sin 2 theta = cos 3 theta, ` then the value of ` sin theta` is-

A

`(sqrt5-1)/(4)`

B

`1/2`

C

`(sqrt5+1)/(4)`

D

`(sqrt3)/(2)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If 0 lt theta lt (pi)/(2) and sin ""(theta)/(2)=sqrt((x-1)/(2x)), then the value of tan theta is-

    A
    `sqrt(x^(2)+1)`
    B
    `sqrt((x+1)/(x+1))`
    C
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    D
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  • If x=(2 sin theta)/(1+ sin theta + cos theta) then the value of (1+ sin theta - cos theta)/(1+ sin theta)

    A
    `-x/2`
    B
    `x/2`
    C
    `x`
    D
    `-x`

  • If (cos theta + i sin theta)(cos 2 theta +i sin 2 theta ) …(cos n theta + i sin n theta)=1 then the value of theta is (m are integers)-

    A
    `(m pi)/(n (n+1))`
    B
    `4m pi`
    C
    `(2m pi)/(n (n-1))`
    D
    `(4m pi)/(n (n+1))`

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