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Y = sin (ax+ b) -

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Question

y = sin (ax+ b)

Options

  • `a cos (ax + b)`

  • `cos (ax + b)`

  • `cos (ax)`

  • `cos b`

MCQ

Solution

`a cos (ax + b)`

Explanation:

Let, `y = sin(ax + b)`

Put `ax + b = t`

∴ `y = sin t, t = ax + b`

∴ `(dy)/(dt) = cos t, (dt)/(dx) = d/(dx) (ax + b) = a`

Now, `(dy)/(dx) = (dy)/(dt) = d/(dx) = (cos t) xx a = a cos (ax + b)`

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