Function f(x) = sin ,x + tan ,x + sgn ,(x^2 ,- ,6x+10) is (where … - Vidyadip

MCQ

Function $f(x) = sin\,x + tan\,x + sgn\,(x^2\,-\,6x+10)$ is (where $sgn :\, \to $ signum function)

✓
Periodic with period $2\pi $
B
Periodic with period $\pi $
C
Non-periodic
D
Periodic with period $1$

✓

Answer

Correct option: A.

Periodic with period $2\pi $

a
$f(x)=\sin x+\tan x+\operatorname{sin}\left(x^{2}-6 x+10\right)$

$f(x)=\sin x+\tan x+1$

$\mathrm{T}=2 \pi$

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