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If theta1 and theta2 are two solutions o...

If `theta_1 and theta_2` are two solutions of the equation a `cos 2theta + b sin 2theta = c` then `tantheta_1+tantheta_2`

Answer

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Knowledge Check

  • If theta_(1) and theta_(2) are two solutions of the equation a cos2theta+bsin2theta=c then tan theta_(1)+tan theta_(2) =

    A
    `(2b)/(c+a)`
    B
    `(2a)/(b+c)`
    C
    `(2c)/(a+b)`
    D
    `(abc)/(a+b+c)`

  • If tantheta_(1), tantheta_(2),tan theta_(3), and tantheta_(4) are the roots of the equation x^4-x^3sin2beta+x^2cos2beta-xcos beta -sin beta = 0 then tan(theta_(1)+theta_(2)+theta_(3)+theta_4) is equal to

    A
    `sin beta`
    B
    `cos beta`
    C
    `tan beta `
    D
    `cot beta`

  • If 7sin^(2)theta+3cos^(2)theta = 4 , then tantheta

    A
    `+-1/sqrt(3)`
    B
    `1/3`
    C
    `+-sqrt(3)`
    D
    `+-1`

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    sin2 theta tantheta+1= sin 2theta + tantheta

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