find the exact value of each of the following. a sin 30 cos 60
Find the exact value of \sin 30^\circ \cos 60^\circ
Answer:
To find the exact value of \sin 30^\circ \cos 60^\circ, we can use the known exact values of these trigonometric functions:
-
Exact values:
- \sin 30^\circ = \frac{1}{2}
- \cos 60^\circ = \frac{1}{2}
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Calculation:
$$\sin 30^\circ \cos 60^\circ = \left(\frac{1}{2}\right) \left(\frac{1}{2}\right) = \frac{1}{4}$$
Summary: The exact value of \sin 30^\circ \cos 60^\circ is \frac{1}{4}. @Ozkanx