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67.Let f(x)=s...

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67.Let f(x)=sinax+cosbx be a periodic function then value of a and b

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s i n (a x) s i n (b x) = c o s (a x) c o s (b x) (a, b \neq 0

a \neq b)

\int \frac{s i n (a x) + c o s (b x)}{c o s (a x) + s i n (b x)} d x

f (x)

be a continuous even periodic function of period

a

f (0) = 0

f (x)

satisfies the relation

f (x) = cos x - x \int 0 f^{'} (t) (2 cos t + {cos}^{2} t) d t

. Then, which of the following is/are correct?

f

be an even periodic function with period

2

f (x) = x \forall x \in [0, 1] .

f (3.14)

Q. Let the smallest possible value of

f (x) = \sqrt{10 x - 67}

m

. Then the value of

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