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If tan theta =sqrt((3)/(2)), then the su...

If `tan theta =sqrt((3)/(2)),` then the sum of infinity of the series, `1+2 (1-cos theta ) + 3 (1-cos theta ) ^(2) +4(1- cos theta )^(3)+…` is-

A

`2/3`

B

`(sqrt3)/(4)`

C

`(5)/(2sqrt2)`

D

`5/2`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If cos theta ne 1/2, then the solution of the equation cos 2 theta =(sqrt2 +1) (cos theta -(1)/(sqrt2)) are-

    A
    `2 n pi pm (pi)/(3)`
    B
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    C
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    D
    `2 n pi pm (pi)/(4)`

  • (1-cos2theta)/(sin2theta)=

    A
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    B
    `cos theta`
    C
    `tan theta`
    D
    none of these

  • If sintheta + sin^2 theta=1 , then the value of the expression cos^12 theta + 3 cos^10 theta + 3 cos^8 theta + cos^6 theta -1 is

    A
    0
    B
    -1
    C
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    D
    2

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