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Range of function f(x)=sin(x+(pi)/(6))+...

Range of function `f(x)=sin(x+(pi)/(6))+cos(x-(pi)/(6))` is :

A

`[-sqrt(2), sqrt(2)]`

B

`[-sqrt(2)(sqrt(3)+1), sqrt(2)(sqrt(3)+1)]`

C

`[-(sqrt(3)+1)/(sqrt(2)), (sqrt(3)+1)/(sqrt(2))]`

D

`[-(sqrt(3)-1)/(sqrt(2)), (sqrt(3)-1)/(sqrt(2))]`

Text Solution

Verified by Experts

The correct Answer is:
C
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VK JAISWAL ENGLISH-COMPOUND ANGLES-Exercise-5 : Subjective Type Problems
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