Let \( S \) be the area bounded by the curve \( y=\sin x(0 \leq x \...
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Let \( S \) be the area bounded by the curve \( y=\sin x(0 \leq x \) \( \leq \pi \) ) and the \( \mathrm{x} \)-axis and \( \mathrm{T} \) be the area bounded by the
P curves \( y=\sin x\left(0 \leq x \leq \frac{\pi}{2}\right), y=a \cos x\left(0 \leq x \leq \frac{\pi}{2}\right) \)
W and the \( \mathrm{x} \)-axis (where \( \mathrm{a} \in \mathrm{R}^{+} \)).
\( \mathrm{S}: \mathrm{T}=1: \frac{1}{3} \) then which of the following is(are) correct?
(a) The value of \( \mathrm{S} \) is equal to 1 .
(b) The value of \( \mathrm{T} \) is equal to \( \frac{2}{3} \).
(c) The value of a is \( \frac{2}{3} \).
(d) The value of a is \( \frac{4}{3} \).
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