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in Trigonometry by (47.8k points)
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sin(cos-1 \(\frac{3}{5}\)) is:

(a) \(\frac{3}{5}\)

(b) \(\frac{5}{3}\)

(c) \(\frac{4}{5}\)

(d) \(\frac{5}{4}\)

1 Answer

+1 vote
by (47.4k points)
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Best answer

(c) \(\frac{4}{5}\)

Let cos-1 (\(\frac{3}{5}\)) = A 

\(\frac{3}{5}\) = cos A 

sin A = \(\frac{4}{5}\)

Now sin(cos-1 (\(\frac{3}{5}\))) = sin A = \(\frac{4}{5}\)

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