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sin 2theta = cos 3theta (0 lt theta lt p...

`sin 2theta = cos 3theta (0 lt theta lt pi)`

Text Solution

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`pi/10, pi/2,(9pi)/10`
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Solve : sin 3theta = cos 3theta (0 < theta < pi)

sin theta + sin 5 theta = sin 3theta (0 le theta le 2pi)

Knowledge Check

  • If tan theta + sec theta=4, then the value of sin theta (0 lt theta lt (pi)/(2)) is-

    A
    `8/15`
    B
    `5/9`
    C
    `15/17`
    D
    `3/5`

  • A tangent is drawn at the point (3 sqrt(3) cos theta, sin theta) (0 lt theta lt (pi)/(2)) to the ellipse x^(2) + 27y^(2)=27 , then the least value of the sum of the intercepts on the coordinate axes by this tangent is attained when the value of theta is-

    A
    `(pi)/(3)`
    B
    `(pi)/(6)`
    C
    `(pi)/(4)`
    D
    `(pi)/(8)`

    • Similar Questions

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    If sin theta + cos theta=0 and 0 lt theta lt pi , then theta=

    If 3 sin theta+4cos theta=5(0lt theta lt pi/2) , show that sin theta =3/5 .

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    If sin2 theta = cos 3 theta then theta =

    cos2theta - cos 4theta = 0 (0^(@) lt theta lt 360^(@))

    Let alpha and beta be the roots of the quadratic equation x^(2) sin theta - x (sin theta cos theta + 1) + cos theta = 0 (0 lt theta lt 45^(@)) , and alpha lt beta . Then Sigma_(n=0)^(oo) (alpha^(n) + ((-1)^(n))/(beta^(n))) is equal to

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