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23. F (x)=(as...

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23. F (x)=(asinx+bcosx)/(csinx+dcosx) is decreasing then find relation between a,b,c,d

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f (x) = \frac{a sin x + b cos x}{c sin x + d cos x}

is monotonic decreasing if

f (x) = \frac{a sin x + b cos x}{c sin x + d cos x}

is an increasing funtion if

lim x \to 0 \frac{x (a + b cos x) - c sin x}{x^{5}} = 1

Find the value of a,b and c.

Q. Eliminate the constants a,b from the relation

y = a sin x + b cos x + x sin x .

X \to Y

be a function defined by

f (x) = a sin (x + \frac{π}{4}) + b cos x + c

. If f is both one-one and onto, then find the sets

X

Y

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