Question
EXAMELE 17 If \( \sin 14^{\circ}=k \), write the (A) \( \sin 194^{\circ} \)
Ask by Daniels Savage. in South Africa
Mar 05,2025
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Answer
\( \sin 194^{\circ} = -k \)
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Mind Expander
To find \( \sin 194^{\circ} \), we can use the sine function's property of periodicity and symmetry. We know that \( \sin(180^{\circ} + \theta) = -\sin(\theta) \). In this case, \( \sin 194^{\circ} = \sin(180^{\circ} + 14^{\circ}) = -\sin(14^{\circ} ) \). Hence, if \( \sin 14^{\circ} = k \), then \( \sin 194^{\circ} = -k \). Now you have a fun sine relationship to play with! Remember, the sine function dips into negatives when crossing the 180-degree barrier!