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amm1812
3 years ago
9

In a right triangle, θ is an acute angle and csc = 19/18. Evaluate the other five trigonometric functions of θ.

Mathematics
1 answer:
SVEN [57.7K]3 years ago
5 0

Answer:

\csc( \theta)  =  \frac{19}{18}  \\  \frac{1}{ \sin( \theta) }  =  \frac{19}{18}  \\  \sin( \theta)  =  \frac{18}{19}  \\  \theta =  { \sin }^{ - 1} ( \frac{18}{19} ) \\  \theta = 71.3 \degree, \: 108.7 \degree, \: 288.7 \degree, \: 468.7 \degree, \: 648.7 \degree

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