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Question:
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Consider the following statements:
1.The function $f(x)=\sin x$ decreases on the interval $(0, \pi / 2)$
2.The function $f(x)=\cos x$ increases on the interval $(0, \pi / 2)$
Which of the above statements is/are correct?
Options:
1.The function $f(x)=\sin x$ decreases on the interval $(0, \pi / 2)$
2.The function $f(x)=\cos x$ increases on the interval $(0, \pi / 2)$
Which of the above statements is/are correct?
Solution:
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Verified Answer
The correct answer is:
Neither 1 nor 2
$\sin x$ increases on the interval $\left(0, \frac{\pi}{2}\right)$
$\cos x$ decreases on the interval $\left(0, \frac{\pi}{2}\right)$
$\cos x$ decreases on the interval $\left(0, \frac{\pi}{2}\right)$
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