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If f(x) = |{:(sinx,sina, sin b),(cos x ,...

If `f(x) = |{:(sinx,sina, sin b),(cos x , cos a, cos b),(tanx,tana,tanb):}|`,where `0 lt a lt b lt ( pi )/(2)`, then the equation `f'(x) = 0` has, in the interval (a,b)

A

Atleast one root

B

atmost one root

C

no root

D

exactly one root

Text Solution

Verified by Experts

The correct Answer is:
A
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Knowledge Check

  • If 0 lt x lt pi and cos x + sin x=1/(2) , then tanx =

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    C
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    A
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    B
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