Continuity and DifferentiabilityMedium
Question
Consider the following statements in S and R:
S : Both sin x and cos x are decreasing function in the interval ((π / 2,π))
then its derivative also decreases in (a,b)
Which of the following is true ?
S : Both sin x and cos x are decreasing function in the interval ((π / 2,π))
then its derivative also decreases in (a,b)
Which of the following is true ?
Options
A.Both S R are wrong
B.Both S and R are correct, but R is not the correct explanation of S
C.S is correct and is correct explanation for S
D.S is correct and R is wrong
Solution
Since it is true that sin x and cos x is decreasing in the interval 
Now, let f(x) = sin x, x ∈ (π,3π / 3), f(x) increases from - 1 to 0.
Therefore, (d) is the answer.
Now, let f(x) = sin x, x ∈ (π,3π / 3), f(x) increases from - 1 to 0.
Therefore, (d) is the answer.
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