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Range

9. what is th...

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9. what is the range of 3cosx-sinx and 3sinx-cosx

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Q. The range of

f (x) = cos x - sin x

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)

\int \frac{3 + 2 c o s x}{(2 + 3 c o s x)^{2}} d x

Q. Match List - I with List - II and select the correct answer using the code given below the lists:

List - I (Function)	List - II (Maximum value)
A. $sin x + cos x$	1. $\sqrt{10}$
B. $3 sin x + 4 cos x$	2. $\sqrt{2}$
C. $2 sin x + cos x$	3. $5$
D. $sin x + 3 cos x$	4. $\sqrt{5}$

\int \frac{cos x + 3 sin x + 7}{cos x + sin x + 1} d x

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