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"If " sin2 alpha = A sin 2(alpha + beta)...

`"If " sin2 alpha = A sin 2(alpha + beta), A ne 0, `
`"then "tan 2 beta=`

A

`(sin 2 alpha (1 + A cos 2 beta))/(A cos2 alpha cos 2 beta)`

B

`(sin 2 alpha (1-A cos 2 beta))/(A cos 2 alpha. cos 2 beta)`

C

`(cos 2 alpha(1 - A sin beta))/(A cos 2 alpha cos 2 beta)`

D

`(cos 2 alpha(1 + A sin 2 beta))/(A cos 2 alpha cos 2 beta)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • If sin2 alpha = A sin 2(alpha + beta), A ne 0, "then" tan 2 alpha =

    A
    `(A sin 2 beta)/(1-A cos 2 beta)`
    B
    `(A sin 2 beta)/(1 + A cos 2 beta)`
    C
    `(A cos 2 beta)/(1-A sin 2 beta)`
    D
    `(A sin 2 beta)/(1 + A cos 2 beta`

  • If sin2 alpha = A sin 2(alpha + beta), A ne 0, "then" Which values of the following are not equal to tan2(alpha + beta) ?

    A
    `(sin 2 beta)/(cos 2 beta - A)`
    B
    `(sin 2 alpha cos 2 alpha)/(A cos 2 beta - sin^(2) 2 alpha)`
    C
    `(sin 2 alpha cos 2 alpha)/(A cos 2 beta + sin^(2) 2 alpha)`
    D
    none of these

  • If x cos alpha + y sin alpha = x cos beta + y sin beta "then" "tan" (alpha + beta)/2=

    A
    `y/x`
    B
    `x/y`
    C
    `(x+y)/y`
    D
    `(x-y)/y`

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