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If a tantheta=b, then a cos 2theta+b sin...

If `a tantheta=b`, then `a cos 2theta+b sin 2theta=`

A

1) a

B

2) b

C

3) -a

D

4) -b

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Knowledge Check

  • If 5 tan theta = 4 , then (5sin theta - 3 cos theta)/(5 sin theta+ 2 cos theta) =

    A
    0
    B
    1
    C
    `1/6
    D
    6

  • If x=a (cos theta + theta sin theta), y= a (sin theta- theta cos theta) then [(d^(2)y)/(dx^(2))]_(theta = (pi)/(4)) = …..

    A
    `(8 sqrt2)/(a pi)`
    B
    `-(8 sqrt2)/(a pi)`
    C
    `(a pi)/(8 sqrt2)`
    D
    `(4 sqrt2)/(a pi)`

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    If x = e^theta (sin theta - cos theta ), y = e^theta (cos theta + sin theta ), then frac{dy}{dx} at theta = frac {pi}{4} is .......... (a) -1 (b) 1 (c) 1/2 (d) -1/2

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