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Find the general solution of the equatio...

Find the general solution of the equation `cos 3 theta = sin 2 theta`

Text Solution

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The correct Answer is:
`(4n+1)(pi)/(10), (4n-1)(pi)/(2)`
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If theta_(1), theta_(2) are solutions of the equation a cos 2 theta + b sin 2 theta = c, tan theta_(1) ne tan theta_(2) and a + c ne 0 , find the values of (i) tan theta_(1) + tan theta_(2) (ii) tan theta_(1). Tan theta_(2) .

If 0 lt theta lt pi/2 , the solution of the equation sin theta - 3 sin 2 theta + sin 3 theta = cos theta - 3 cos 2 theta + cos 3 theta is

Knowledge Check

  • 4 sin 5 theta cos 3 theta sin 2 theta

    A
    `1+ cos 4 theta + cos 6 theta -cos 10 theta `
    B
    `1- cos 4 theta + cos 6 theta - cos 10 theta `
    C
    `1- cos 4 theta + cos 6 theta + cos 10 theta `
    D
    `1+ cos 4 theta + cos 6 theta + cos 10 theta `

  • One of the general solutions of sqrt(3) cos theta - 3 sin theta = 4 sin 2 theta cos 3 theta is

    A
    `n pi + pi //18 , n in Z`
    B
    `n pi // 2 + pi // 6, AA n in Z`
    C
    `n pi // 3 + pi // 18 , n in Z`
    D
    `(n pi)/( 3) + (pi)/( 9) , n in Z`

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