What is the value of (9.8sin(120))/(sin(90)) ?

The value of (9.8sin(120))/(sin(90)) is (49sqrt(3))/(10)

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(9.8sin(120))/(sin(90))

\frac{9.8 sin ( 12 0 ^{\circ} )}{sin ( 9 0 ^{\circ} )}

\frac{49 3}{10}

Solution steps

\frac{9.8 sin ( 12 0 ^{\circ} )}{sin ( 9 0 ^{\circ} )}

= \frac{\frac{49}{5} sin ( 12 0 ^{\circ} )}{sin ( 9 0 ^{\circ} )}

Use the following trivial identity:

sin (12 0^{\circ}) = \frac{3}{2}

Use the following trivial identity:

sin (9 0^{\circ}) = 1

= \frac{\frac{49}{5} \cdot \frac{3}{2}}{1}

Simplify

\frac{\frac{49}{5} \cdot \frac{3}{2}}{1} : \frac{49 3}{10}

= \frac{49 3}{10}

arctan (\frac{5.4}{4.8})

arcsin (\frac{343}{5000})

\frac{212.13}{sin ( 6 0 ^{\circ} )}

sin (97. 5^{\circ})

- \frac{1}{2} sin (27 0^{\circ}) + 2

What is the value of (9.8sin(120))/(sin(90)) ?
The value of (9.8sin(120))/(sin(90)) is (49sqrt(3))/(10)