Assertion Consider the following statem...

`Assertion` Consider the following statements in `S and R S:` Both `sinx and cosx` are decrerasing function in the interval `(pi/2,pi) ` `Reason` If a differentiable function decreases in an interval `(a,b)`, then its derivative also decrease in `(a,b)`.Which of the following it true? (a) Both S and R are wrong. (b) Both `S and R` are correct, but R is not the correct explanation of S. (c) S is correct and R is the correct explanation for S. (d) S is correct and R is wrong.

Both S and R are wrong

Both S and R are correct but R is not correct explanation for S

S is correct and R wrong

Text Solution

Verified by Experts

The correct Answer is:

It is evident that both sinx and cosx are decreasing function in the interval `(pi/2,pi)`So is correct , Statement R is not correct because sinx is decreasing in the interval `(pi/2,(3pi)/2)` but its derivative i.e. cosx is not so

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