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Domain and Range of Basic Inverse Trigonometric Functions

Q.34 If f(x) ...

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Q.34 If f(x) and g(x) are periodic functions with the same fundamental period where f(x) = sinαx + cosαx and g(x) = |sinx| + |cosx|, then α is equal to

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Similar questions

f (x) = cos (x + \frac{π}{3})

g (x) = sin (x - \frac{π}{6})

be two functions. Which of the following is/are correct ?
( where

x \in [0, 2 π]

Q. Assertion :Fundamental period of

cos x + cot x

2 π

. Reason: If the period of

f (x)

T_{1}

and the period of

g (x)

T_{2}

, then the fundamental period of

f (x) + g (x)

is the L.C.M. of

T_{1}

T_{2}

.

Q. If the function

f (x) = λ | sin x | + λ^{2} | cos x | + g (λ), λ \in R

is periodic with fundamental period

\frac{π}{2},

sin a x + cos a x

| cos x | + | sin x |

are periodic functions of same fundamental period if

a

f (x) = cos x

g (x) = \int cos x d x

are both periodic functions Reason: If a function is periodic, then its antiderivative is also a periodic function

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