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If 7 sin^2 theta +3 cos^2 theta = 4,...

If 7 `sin^2 theta +3 cos^2 theta = 4,` and `theta` is a positive acute angle, then tan `theta `is equal to

A

`1/3`

B

`1/7`

C

`1/(sqrt(3))`

D

`sqrt(3)`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • If 2(cos^(2)theta-sin^(2)theta)=1,theta is a positive acute angle , then the value of theta is

    A
    `60^(@)`
    B
    `30^(@)`
    C
    `45^(@)`
    D
    `22(1)/(2)@`

  • If 7 sin^(2) theta + 3 cos^(2) theta =4 , "then" sec theta + cosec theta is equal to

    A
    `2/sqrt3-2`
    B
    `2/sqrt3+ 2`
    C
    `2/sqrt3`
    D
    None of these

  • If 2 - cos^(2) theta = 3 sin theta cos theta , sin theta ne cos theta then tan theta is

    A
    `1/2`
    B
    `0`
    C
    `2/3`
    D
    `1/3`

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