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Basic Inverse Trigonometric Functions

The range of ...

Question

The range of f(x) = log to the base root5 (root 2(sinx-cosx)+3) is?

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Q. The range of

f (x) = {log}_{\sqrt{5}} {\sqrt{2} (sin x - cos x) + 3}

Q. The range of

{l o g}_{\sqrt{3}} [\sqrt{2} (s i n x - c o s x) + 3]

Q. Find the range if

[2 sin x] + [cos x] = - 3,

then the range of the function

f (x) = sin x + \sqrt{3} cos x

[0, 2 π]

[.]

denotes the greatest integer function)

Q. The range of

f (x) = cos (x / 3)

f (x) = \frac{3}{1 - 2 sin x}

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