Question

1. Given A is an acute angle and 10 sinA = 8, evaluate on (1 Point) ​

Answer 1

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Answer 2

Step-by-step explanation:

$\sin(a) = \frac{8}{10} = \frac{4}{5} \\ \cos(a) = \sqrt{1 - \frac{16}{25 } } = \sqrt{ \frac{9}{25} } = \frac{3}{5} \\ \tan(a) = \frac{ \sin(a) }{ \cos(a) } = \frac{4}{3}$

$\frac{5 \sin(a) - 2 \cos(a) }{ \tan(a) } = \frac{4 - 2( \frac{3}{5} )}{ \frac{4}{3} }$

$\frac{3(20 - 6)}{4 \times 5 } = \frac{3 \times 14}{20} = \frac{21}{10} = 2.1$