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If 0 lt pi lt pi/2 then, (i) sin x is ...

If `0 lt pi lt pi/2` then,
(i) `sin x` is an increasing function,
(ii) `cos x` is an increasing function
(iii) `tan x` is an increasing function, then -

A

(i) and (ii) are true

B

(ii) and (iii) are true

C

(i) and (iii) are true

D

only (i) is true

Text Solution

Verified by Experts

The correct Answer is:
c
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  • The function f(x)=(sinx+cosx) is an increasing function in

    A
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    `5pi//8ltxlt3pi//4`
  • The function f(x)= tan^(-1) (sin x + cos x ), x gt 0 is always an increasing function on the interval-

    A
    `(0, pi)`
    B
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