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Q.

Consider the statements S and R.

S : Both sin x and cos x are decreasing in the interval π2,π

R: If a differentiable function decreases in an interval (a,b) then its derivative also decreases in (a,b)
Which of the following is true

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a

S and R are true and R is not the correct
explanation of S

b

Both S and R are wrong

c

S and R are true and R is the correct explanation
of S

d

S is true, R is false

answer is D.

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Detailed Solution

s:  f(x)=sinx f'(x)=cosx f(x) is decresing  f'(x)<0   cosx<0x(π2,π) g(x)=cosx g'(x)=-sinx g(x) is decresing g'(x)<0 -sinx<0 sinx>0 x(π2,π)

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